Practicing Success
In ΔPQR, ∠Q = 90 degrees and QX is perpendicular to PR. If PQ = 15 cm and PR = 25 cm, then what is the ratio of PX : XR ? |
2 : 3 7 : 18 1 : 4 9 : 16 |
9 : 16 |
Using the principle of similar triangles, since Δ PQR ~ Δ PQX, we have: \(\frac{ PX }{ PQ }\) = \(\frac{ PQ }{ PR }\) \(\frac{ PX }{ 15 }\) = \(\frac{ 15 }{ 25 }\) Solving this, we get PX = 9 cm. XR = PR - PX = 25 - 9 = 16 Now, PX : XR = 9:16 |