Triangles: Properties & Formulas

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Triangle properties and formulas

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Osiris Herrera

Colombia

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Triangles: Properties & Formulas


Triangles: Properties & FormulasVersion en ligne Triangle properties and formulas par Osiris Herrera 1 A triangle has two measuring 45° and 60°. Based on the properties of triangles, what is the measure of the angle? Escoge una o varias respuestas a 75° b 60° c 70° d 85° 2 A student claims that a triangle can have side lengths of 2cm, 4cm, and 8cm. Using triangle properties, which statement best evaluates this claim? a The triangle is valid because all side are different b The triangle is valid because the largest side is 8cm. c The triangle is not valid because the sum of two sides is less than the third. d The triangle is valid because 3+4=7 3 A triangle has sides of lengths 5cm, 10cm and x cm. According to triangle inequality rules, which of the following represents the possible values of x? a 5≤x≤15 b 0 c 5 d x>15 4 In a triangle, one exterior angle measures 125°, and one of the remote interior angles measures 40°. What is the measure of the other remote interior angle? a 75° b 80° c 85° d 95° 5 A triangle has sides of lengths 7cm, 6cm, and 5cm. Which angle is the largest? a The angle opposite the 5cm side. b The angle opposite the 7cm side. c The angle opposite the 6cm side. d All angles are equal. 6 A triangle has all three sides equal. Based on triangle properties, which conclusion is correct? a All angles are different. b All angle measure 90°. c All angle measure 60°. d Two angles are equal, and one is different. 7 A triangle has two equal sides. What can be concluded about the angles opposite those sides? a They are supplementary. b They are equal. c They sum to 180° d They are always 60° 8 A right triangle has one angle measuring 90°. What is always true about the other two angles? a They sum to 90° b They sum to 180°. c One must be 60° d They are equal. 9 A triangle has angles of 30°, 60° and 90°. If the shortest side measures x, what is the length of the hypotenuse? a x b x√2 c x√3 d 2x 10 A triangular garden has a base of 8 meters and a height of 6 meters. What is the area of the garden? a 14 m2 b 24 m2 c 48 m2 d 96 m2 11 A triangle has two sides with lengths of 4 and 9 units. According to the Triangle Inequality Theorem, which of the following could be the length of the third side (x)? a 4 units b 5 units c 12 units d 14 units 12 In a certain triangle, two of the interior angles measure 35° and 55°. What is the measurement of the third angle? a 70° b 80° c 90° d 100° 13 What is the area of an equilateral triangle if the length of one of its sides is 4 units? a 4√3 square units b 8√3 square units c 16√3 square units d 2√3 square units 14 In a special 30-60-90 right triangle, if the shortest leg (the side opposite the 30° angle) measures 5 units, what is the length of the hypotenuse? a 5√3 units b 10 units c 15 units d 52 units 15 An exterior angle of a triangle measures 110°. If one of the non-adjacent interior angles measures 40°, what is the measure of the other non-adjacent interior angle? a 70° b 150° c 30° d 140° 16 Which triangle has a 90° angle? a Right triangle b Equilateral triangle c Scalene triangle d Acute triangle 17 What identifies an isosceles angle? a They have an 80° angle b All their sides are equal. c They all have different sides; they only have two equal sides d They only have two equal sides. 18 Which triangle has sides of different lengths? a isosceles b right c scalene d obtuse 19 What is the measure of each angle of the equilateral triangle? a 60° b 45° c 40° d 90° 20 Which angles, when added together, always equal 360°? a Interior angles b Exterior angles c Diagonal angles d None of the above 21 Which of the following best describes a scalene triangle? a All sides are equal b Two sides are equal c No sides are equal d All angles are 60° 22 A triangle has sides measuring 6 cm, 8 cm, and 10 cm. What is its perimeter? a 24 cm b 26 cm c 28 cm d 30 cm 23 In a triangle, the altitude is drawn from a vertex to the opposite side. What does the altitude represent? a The longest side b The shortest side c The perpendicular distance from the vertex to the base d The sum of two sides 24 Two triangles have corresponding angles equal and their sides proportional. What can be concluded about them? a They are congruent b They are similar c They are scalene d They are right triangles 25 In a right triangle, the legs measure 9 cm and 12 cm. What is the length of the hypotenuse? a 15 cm b 18 cm c 21 cm d 20 cm

Triangles: Properties & Formulas

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Triangles: Properties & FormulasVersion en ligne

par Osiris Herrera

A triangle has two measuring 45° and 60°. Based on the properties of triangles, what is the measure of the angle?

A student claims that a triangle can have side lengths of 2cm, 4cm, and 8cm. Using triangle properties, which statement best evaluates this claim?

A triangle has sides of lengths 5cm, 10cm and x cm. According to triangle inequality rules, which of the following represents the possible values of x?

In a triangle, one exterior angle measures 125°, and one of the remote interior angles measures 40°. What is the measure of the other remote interior angle?

A triangle has sides of lengths 7cm, 6cm, and 5cm. Which angle is the largest?

A triangle has all three sides equal. Based on triangle properties, which conclusion is correct?

A triangle has two equal sides. What can be concluded about the angles opposite those sides?

A right triangle has one angle measuring 90°. What is always true about the other two angles?

A triangle has angles of 30°, 60° and 90°. If the shortest side measures x, what is the length of the hypotenuse?

A triangular garden has a base of 8 meters and a height of 6 meters. What is the area of the garden?

A triangle has two sides with lengths of 4 and 9 units. According to the Triangle Inequality Theorem, which of the following could be the length of the third side (x)?

In a certain triangle, two of the interior angles measure 35° and 55°. What is the measurement of the third angle?

What is the area of an equilateral triangle if the length of one of its sides is 4 units?

In a special 30-60-90 right triangle, if the shortest leg (the side opposite the 30° angle) measures 5 units, what is the length of the hypotenuse?

An exterior angle of a triangle measures 110°. If one of the non-adjacent interior angles measures 40°, what is the measure of the other non-adjacent interior angle?

Which triangle has a 90° angle?

What identifies an isosceles angle?

Which triangle has sides of different lengths?

What is the measure of each angle of the equilateral triangle?

Which angles, when added together, always equal 360°?

Which of the following best describes a scalene triangle?

A triangle has sides measuring 6 cm, 8 cm, and 10 cm. What is its perimeter?

In a triangle, the altitude is drawn from a vertex to the opposite side. What does the altitude represent?

Two triangles have corresponding angles equal and their sides proportional. What can be concluded about them?

In a right triangle, the legs measure 9 cm and 12 cm. What is the length of the hypotenuse?