What is the area of △PQR.

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Thank You So Much In Advance!!!

KennedyPape
Mar 27, 2018

#1**+2 **

Let QR be the base of the triangle.

Let's draw a height from QR to P .

Now we have a right triangle.

sin( angle ) = opposite / hypotenuse

sin 20° = h / 9

Multiply both sides of the equation by 9 .

9 sin 20° = h

h = 9 sin 20°

Now we know the base and the height, so we can find the area.

area = (1/2)(base)(height)

area = (1/2)(14)(9 sin 20°) square cm

area = 63 sin 20° square cm

area ≈ 21.5 square cm

hectictar
Mar 27, 2018