triangle CDE ~ triangle PQR. CD = 9m, EC = 15m, PQ = 15 m. what is the length of RP?

1. 0.6 m.
2. 25 m.
3. 30 m.
4. 9 m.

1 answer

We can solve this problem by setting up ratios using the given information.

Let x be the length of RP. Since triangle CDE is similar to triangle PQR, we can set up the following ratio:

CD/PQ = DE/QR

Substituting the given lengths, we have:

9/15 = 15/x

Simplifying the ratio, we get:

3/5 = 15/x

Cross-multiplying, we have:

3x = 5 * 15

3x = 75

Dividing both sides by 3, we find:

x = 25

Therefore, the length of RP is 25 m.

The answer is option 2.
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