Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

If Triangle PQR ~ Triangle UTV, find the value of x

If Triangle PQR Triangle UTV Find The Value Of X class=

Sagot :

Answer: The value of x is 15.

Solution:

Given ΔPQR  ΔUTV.

If two triangles are similar, then the corresponding parts are congruent.

Do cross multiplication, we get

⇒ 14(x - 3) = 8(x + 6)

⇒ 14x - 42 = 8x + 48

Add 42 on both sides.

⇒ 14x = 8x + 90

Subtract 8x on both sides.

⇒ 6x = 90

Divide by 6 on both sides.

⇒ x = 15

The value of x is 15.

Step-by-step explanation: