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.
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.