Question

The diagram of PQR below shows the lengths of two sides and an altitude.

Answer 1

Answer:

B) Length of PR is 21 unit.

Step-by-step explanation:

In Δ PQR, PQ = 10 unit , and QR = 17 unit (given)

and let, QT⊥ PR.

Now, QT = 8 unit (given)

So, Δ PQT is a right angled triangle right-angled at T .

So. PT = $\sqrt {((PQ)^{2} - (QT)^{2})}$

         = $\sqrt {10^{2} - 8^{2}}$

         =$\sqrt{36}$ = 6 unit

Similarly,

Δ RQT is a right angled triangle right-angled at T .

So. RT = $\sqrt {((RQ)^{2} - (QT)^{2})}$

         = $\sqrt {17^{2} - 8^{2}}$

         =$\sqrt{225}$ = 15 unit

So, PR = PT + TR = (15 + 6) unit = 21 unit