If PQR ~ SQT, find the value of x

Given:

Given that the triangle PQR is similar to SQT.

The length of PS is (x + 5)

The length of SQ is 8.

The length of ST is (x - 9)

The length of PR is 21.

We need to determine the value of x.

Value of x:

Using the similar triangles property, we shall determine the value of x.

Hence, we have;

Substituting the values, we get;

Cross multiplying, we get;

The value of x can be determined using the quadratic formula.

Thus, we have;

Since, x cannot take negative values, then x = 16.

Hence, the value of x is 16.

step-by-step explanation:

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