Question

7. In the adjoining figure, QH is an altitude from the vertex Q on side
PR. PQ = 10 cm, QR = 17 cm and QH = 8 cm. Find the length of the side PR.​

Answer 1

Answer:

31 cm

Step-by-step explanation:

given ∆QPR ,p in first case pq2 = qh2 + ph2 ( Pythagoras theorem)

now we find ph2 = 100- 64 = 36cm

pH= 6 cm

in second case, we find rh2 = qr2 - qh2

= 289-64

rh =√225 = 25 cm

now pr = 6+25 = 31 cm