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

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: