Question

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

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

Answer 2

Answer:

QR=44 or 28

Step-by-step explanation:

first you use the pythagoram theorem to find out the lenghts of RN and NQ, which lead to 36 and 8, then you add them to get 44. Put maybe QR is the hypotenuse, in which case, you get andother solution with 36 and 8, but you have to exclude NR, which gets you to 28