If Triangle PQR ~ Triangle SQT, Find the value of x.

x = 15

Step-by-step explanation:

Given that ∆PQR ~ ∆SQT, therefore their side lengths are proportional to each other.

Thus:

PQ = (x + 5) + 8 = x + 13

SQ = 8

PR = 21

ST = x - 9

Plug in the values

Cross multiply

Subtract 168 from both sides

Factorize

(x + 19)(x - 15) = 0

x = -19 or x = 15

step-by-step explanation:

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about the problem:

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