△CDE∼△PQR. CD=9 m, EC=15 m, PQ=15 m. What is the length of RP¯¯¯¯¯¯¯¯?(1 point)
Responses
30 m
30 m
25 m
25 m
9 m
9 m
0.6 m
To find the length of RP¯¯¯¯¯¯¯¯, we can set up a proportion using the corresponding sides of the two similar triangles:
CD / PQ = DE / QR
9m / 15m = 15m / RP¯¯¯¯¯¯¯¯
Cross-multiplying, we get:
9m * RP¯¯¯¯¯¯¯¯ = 15m * 15m
225m = 9m * RP¯¯¯¯¯¯¯¯
Dividing both sides by 9m, we get:
RP¯¯¯¯¯¯¯¯ = 225m / 9m
RP¯¯¯¯¯¯¯¯ = 25m
Therefore, the length of RP¯¯¯¯¯¯¯¯ is 25m.
are u sure??
Apologies for the incorrect response. Let's try to solve it again.
Since △CDE∼△PQR, we can set up the following proportional relationship:
CD / PQ = DE / QR
Substituting the given values, we have:
9m / 15m = 15m / RP¯¯¯¯¯¯¯¯
Simplifying the equation:
9/15 = 15 / RP¯¯¯¯¯¯¯¯
Cross-multiplying:
9 * RP¯¯¯¯¯¯¯¯ = 15 * 15
9 * RP¯¯¯¯¯¯¯¯ = 225
Dividing both sides by 9:
RP¯¯¯¯¯¯¯¯ = 225 / 9
RP¯¯¯¯¯¯¯¯ = 25
Therefore, the length of RP¯¯¯¯¯¯¯¯ is 25m.