In the diagram below of triangle PQR, S is the midpoint of PR and T is the

Mathematics

1 answer:

Nina [5.8K]3 years ago

5 0

Answer:

ST = 4

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.

ST = $\frac{1}{2}$ PQ substitute values

- 32 + 9x = $\frac{1}{2}$ (- 5x + 28) ← multiply both sides by 2 to clear the fraction

- 64 + 18x = - 5x + 28 (add 5x to both sides )

- 64 + 23x = 28 ( add 64 to both sides )

23x = 92 ( divide both sides by 23 )

x = 4

Then

ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4

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