Question

Did you mean: if triangle pqr is similar to triangle xyz pq=15cm ar(pqr)=75 cm square and ar (xyz)=108 cm square then xy=

Answer 1

Answer:

If triangle PQR is similar to triangle XYZ, then the corresponding sides of the two triangles are in proportion. XY is equal to 18 cm.

Explanation:

Let's assume that PQ corresponds to XY, QR corresponds to YZ, and PR corresponds to XZ. We know that the area of triangle PQR is 75 cm² and the area of triangle XYZ is 108 cm². Since the two triangles are similar, the ratio of their areas is the square of the ratio of their corresponding sides.

Therefore, we can say:

(PQ/XY)² = 75/108

Simplifying this equation, we get:

(PQ/XY)² = 25/36

Taking the square root of both sides, we get:

PQ/XY = 5/6

Multiplying both sides by XY, we get:

PQ = (5/6)XY

We know that PQ is 15 cm, so we can substitute that into the equation:

15 = (5/6)XY

Solving for XY, we get:

XY = 18 cm

To know more about the concept please go through the links:

https://brainly.in/question/54231692

https://brainly.in/question/54092128

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