Geometry & Trig Challenge

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Test your geometry and trig problem solving.

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MARJURY BELARMA

Philippines

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Geometry & Trig Challenge


Geometry & Trig ChallengeVersion en ligne Test your geometry and trig problem solving. par MARJURY BELARMA 1 Q1: In a triangle, two sides are 80 m and 100 m with included angle 50°. Find the third side. a 78.2 m b 110.1 m c 60.4 m d 92.5 m 2 Q2: A ship goes 120 km and 150 km with a 40° angle between routes. Distance between endpoints? a 75.3 km b 96.6 km c 130.2 km d 180.0 km 3 Q3: A triangle has sides 90 m, 75 m, 60 m. Find one angle (opposite the 90 m side). a 120.0° b 60.0° c 82.8° d 45.0° 4 Q4: If a triangle has angles 45°, 60°, 75° and side a is opposite 45°, find b and c in terms of a. a b ≈ 2a, c ≈ 0.5a b b ≈ a, c ≈ 2a c b ≈ 1.225a, c ≈ 1.366a d b ≈ 0.5a, c ≈ 2.0a 5 Q5: In a triangle with angles 30°, 60°, 90° and side opposite 30° is 5, find other sides. a Opposite 60° is 5√3, opposite 90° is 10 b Opposite 60° is 10, opposite 90° is 15 c Opposite 60° is 5, opposite 90° is 5 d Opposite 60° is 2.5√3, opposite 90° is 5 6 Q6: Law of Cosines is used when you know which set of data? a Three angles b Two sides and the included angle c All three sides only d A side and a non-included angle 7 Q7: Law of Sines is most helpful when you know: a Two angles and a side opposite one of them b Only one side c Two sides and the included angle d Only two sides 8 Q8: Which law applies to a triangle with sides a,b,c and angle A opposite a? a Law of Sines b Law of Cosines c Law of Tangents d Pythagoras' theorem 9 Q9: For a triangle with sides 7, 24, 25 which is true? a It is a right triangle b It is acute c It is obtuse d It is impossible to tell without angles 10 Q10: The angle opposite side c in a triangle is largest when c is the largest side? a No, opposite angle is independent b Only if sides are equal c Only for right triangles d Yes, by the Law of Sines/Cosines

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Geometry & Trig Challenge

Test

À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

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Geometry & Trig ChallengeVersion en ligne

par MARJURY BELARMA

Q1: In a triangle, two sides are 80 m and 100 m with included angle 50°. Find the third side.

Q2: A ship goes 120 km and 150 km with a 40° angle between routes. Distance between endpoints?

Q3: A triangle has sides 90 m, 75 m, 60 m. Find one angle (opposite the 90 m side).

Q4: If a triangle has angles 45°, 60°, 75° and side a is opposite 45°, find b and c in terms of a.

Q5: In a triangle with angles 30°, 60°, 90° and side opposite 30° is 5, find other sides.

Q6: Law of Cosines is used when you know which set of data?

Q7: Law of Sines is most helpful when you know:

Q8: Which law applies to a triangle with sides a,b,c and angle A opposite a?

Q9: For a triangle with sides 7, 24, 25 which is true?

Q10: The angle opposite side c in a triangle is largest when c is the largest side?