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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: