Question

triangle PQR is a right-angled triangle at Q and

sin R=5/13 Find the length of PQ and QR.
13​

Answer 1

Answer:

PQ=5 ; QR= 12

Step-by-step explanation:

Given:-

sin R = 5/13

therefore, sin R = PQ/PR

So, Let PQ = 5k

PR = 13k (As they are ratios of trigonometry )

To find QR; we will apply pythagoras theorem

${pr}^{2} - {qr}^{2} = {qr}^{2}$

$({13k})^{2} - ({5k})^{2} = {qr}^{2}$

${169k}^{2} - {25k}^{2} = {qr}^{2}$

$144 {k}^{2} = {qr}^{2}$

$12k = qr$

Answer:-

Answer:-QR = 12

Answer:-QR = 12PQ = 5