In the △PQR, PQ = 39 in, PR = 17 in, and the altitude PN = 15 in. Find QR.

Question

Mathematics

Summer Moyer

8 January, 16:51

In the △PQR, PQ = 39 in, PR = 17 in, and the altitude PN = 15 in. Find QR.

+2

Answers (1)

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Harper Perry · Answer 1

Altitude = 90 * Angle

15^2+b^2 = 39^2

225+b^2 = 1521

1296 = b^2

36 = b

15^2 + b^2 = 17^2

225 + b^2 = 289

64 = b^2

8 = b

36 + 8 = 44

39+17 = 56

56 is greater then 44

Triangle Inequality Theorem Proves

So QR = 44