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Circle C is inscribed in triangle QSU. Circle C is inscribed in triangle Q S U. Points R, T, and V of the circle are on the sides of the triangle. Point R is on side Q S, point T is on side S U, and point V is on side Q U. The length of Q R is 10, the length of R S is 2 x, the length of S T is x + 3, and the length of T U is 4. What is the perimeter of triangle QSU? 3 units 16 units 30 units 40 units

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Answer:

I can confirm the answer is:

D. 40 units

Step-by-step explanation:

I just took the test on edge and got it right!

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The perimeter of the Δ QSU is given as 40 units. (Option D). See explanation below.

What is the perimeter of Δ QSU?

We can derive the perimeter by stating:

2x = x + 3 ⇒ x = 3

This is because Δ RSC ≅ Δ TSC

RS = 2 x 3 = 6 = ST

This is because ΔQRC ≅ ΔQVC

TV = VU = 4; we know this because
ΔCVU ≅ Δ CTU

Thus

QR = QV = 10

CΔQSU = 10 + 6 + 10 +14

= 40 Units.

Learn more about perimeter of triangles at:
https://brainly.com/question/24382052
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