Question

URGENT HELP!! Triangle OPQ is similar to triangle RST. Find the measure of side TR. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.

​

Answer 1

If the triangles are similar, then their corresponding sides are proportional. We can set up the following proportion:

(OP / OQ) = (RS / RT)

Substituting the given values, we get:

(8 / (8 + 13)) = (33 / RT)

Simplifying the left side:

8 / 21 = 33 / RT

Multiplying both sides by RT:

RT * (8 / 21) = 33

Dividing both sides by 8/21:

RT = 33 / (8 / 21)

RT = 86.8125

Rounding to the nearest tenth, we get:

RT ≈ 86.8

Therefore, the measure of side TR is approximately 86.8.