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In Mathematics / High School | 2014-04-23

The triangles are similar. If PN = 12, QP = 8, and PM = 17, find QR.

Asked by kenyambenton

Answer (2)

Δ QRN ∼ Δ PMN ∣ QN ∣ ∣ QR ∣ ​ = ∣ PN ∣ ∣ PM ∣ ​ 8 + 12 ∣ QR ∣ ​ = 12 17 ​ 20 ∣ QR ∣ ​ = 12 17 ​ / ⋅ 20 ∣ QR ∣ = 12 17 ​ ⋅ 20 ∣ QR ∣ = 3 17 ​ ⋅ 5 ∣ QR ∣ = 3 85 ​ ∣ QR ∣ = 28 3 1 ​

Answered by Anonymous | 2024-06-10

To find the length of QR in the similar triangles QRN and PMN, we used the proportionality of corresponding sides. Given the values of PN, QP, and PM, we calculated QN and set up a ratio to solve for QR. The resulting length of QR is approximately 28.33.
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Answered by Anonymous | 2024-09-03

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