Question

BRAINLIESTT ASAP! PLEASE HELP ME :)

Answer 1

Answer:

○$\displaystyle h ≈ 29,3$

Step-by-step explanation:

You would normally use the Pythagorean Theorem for right triangles, but since you are only given one side, you must use the Law of Sines to define as many parts of the triangle as you can, to get the length of side h:

180° = 34° + 90° + m∠H

180° = 124° + m∠H

- 124° - 124°

_______________

$\displaystyle 56° = m∠H$

$\displaystyle \frac{h}{sin\:56°} = \frac{35,4}{sin\:90°} → \frac{h}{sin\:56°} = 35,4 \\ \\ 35,4sin\:56° = h; 29,34793007 ≈ h; 29,3 ≈ h$

Law of Sines

Solving for Angle Measures

$\displaystyle \frac{sin∠C}{c} = \frac{sin∠B}{b} = \frac{sin∠A}{a}$

* In the end, use the inverse function $\displaystyle [sin^{-1}],$or else you will throw off your answer.

Solving for Sides

$\displaystyle \frac{c}{sin∠C} = \frac{b}{sin∠B} = \frac{a}{sin∠A}$

I am joyous to assist you anytime.