Question

Im actually going to explode I hate geometry with a passion

Answer 1

Answer: B 28√15

Explanation:

They want you to find the Area of the quadrilateral. But if you can find the area of 1 trangle then you can double it because the 2 triangles are congruent.

We know the 2 triangles are congruent from the theorem (see diagram

We also know that QR=TR=SR They are all radius

Let's solve for triangle PRS

PR = hypotenuse = 10+7 =17

SR=7 radius

Use pythagorean to find PS

c²=a²+b²

17²=7²+b²

289 = 49 + b²

b²=289 -49

b² = 240

b=√240

b=
`√(16*15)`

b= 4√15 This is PS

Area of triangle = 1/2 bh b=PS h=7

Area of triangle = 1/2 (4√15)(7)

Area of triangle = (2√15)(7)

Area of triangle = 14√15

Area of quadrilateral = 2 (14√15) > 2 triangles make the quadrilateral

Area of quadrilateral = 28√15