Solve the right triangle, δabc, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Part 1)

Part 2)

Part 3)

Part 4)

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

substitute the given values

step 2

Fin the measure of angle B

we know that

In the right triangle

substitute the given values

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

substitute