Common Core HSG.SRT.D.10 worksheet

Question 1

In triangle ABC, b = 11 cm, c = 9 cm and angle A = 53°. Find side a to 1 decimal place.

Answer 

Question 2

In triangle ABC, angle A = 36°, angle B = 68° and side a = 10 cm. Find side b to 1 decimal place.

Answer 

Question 3

A triangle has sides a = 14, b = 14 and c = 8. Find angle C (opposite side c) to 1 decimal place.

Answer 

Question 4

You know two sides and an angle opposite one of them; find another angle. Which is the most direct method?

• A. Sine rule
• B. Cosine rule
• C. SOH CAH TOA (right angle)

Question 5

In triangle ABC, a = 12 cm, b = 4 cm and angle A = 69°. Find angle B (acute) to 1 decimal place.

Answer 

Question 6

In triangle ABC, b = 9 cm, c = 5 cm and angle A = 67°. Find side a to 1 decimal place.

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Question 7

In triangle ABC, angle A = 61°, angle B = 72° and side a = 19 cm. Find side b to 1 decimal place.

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Question 8

A triangle has sides a = 9, b = 4 and c = 7. Find angle C (opposite side c) to 1 decimal place.

Answer 

Question 9

You know two angles and the side between them; find a side opposite one of them. Which is the most direct method?

• A. Sine rule
• B. Cosine rule
• C. SOH CAH TOA (right angle)

Question 10

In triangle ABC, a = 19 cm, b = 10 cm and angle A = 65°. Find angle B (acute) to 1 decimal place.

Answer 

Question 11

In triangle ABC, b = 18 cm, c = 20 cm and angle A = 73°. Find side a to 1 decimal place.

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Question 12

In triangle ABC, angle A = 38°, angle B = 31° and side a = 16 cm. Find side b to 1 decimal place.

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Question 13

A triangle has sides a = 9, b = 10 and c = 14. Find angle C (opposite side c) to 1 decimal place.

Answer 

Question 14

You know two angles and the side between them; find a side opposite one of them. Which is the most direct method?

• A. Sine rule
• B. Cosine rule
• C. SOH CAH TOA (right angle)

Question 15

In triangle ABC, a = 12 cm, b = 10 cm and angle A = 79°. Find angle B (acute) to 1 decimal place.

Answer 

Question 16

In triangle ABC, b = 20 cm, c = 12 cm and angle A = 121°. Find side a to 1 decimal place.

Answer