Question

Sketch and solve the following triangles.

Answer 1

Answer:

answer of 1 is 13

Step-by-step explanation:

well there are two sides given 12cm and 5cm respectively so you can use the formula

H2=P2+B2 ... 2meanssquare

Answer 2

Answer:

#1

Use Pythagorean:

• c² = a² + b²

Apply to given and find c:

• c² = 5² + 12²
• c² = 169
• c = √169
• c = 13 cm

#2

• cos = adjacent / hypotenuse
• cos A = b/c
• cos A = 10/12 = 5/6

#3

• Assumed θ is ∠A, this is not too clear

We have:

• a = 12
• c = 13

We know that:

• tan A = a/b

Find b:

• b = √c² - a² = √13²-12² = √25 = 5

So

• tan A = 12/5

#4

Given

• sin A = 15/17

We know that:

• sin A = a/c, so a = 15 and c = 17
• tan A = a/b

Find b:

• b = √c² - a²= √17²-15²= √64 = 8

So

• tan A = a/b = 15/8

#5

Given

• cot θ = 7/24

We know:

• cot = adjacent / opposite
• sec = 1/cos = hypotenuse / adjacent

From the cot we have:

• adjacent = 7, opposite = 24

Hypotenuse is:

• √24² + 7² = √625 = 25

So,

• sec θ = 25/7