Question

In right angled triangle, if sum of the squares of the sides of right angle is 169, then what is the length of the hypotenuse?

Options

• 15

• 13

• 5

• 12

Answer 1

13

Explanation:

In ∆PQR,

∠Q = 90°

∴ PR² = PQ² + QR²    ...[Pythagoras theorem]

∴ PR² = 169   ...[Given]

∴ PR = `sqrt(169)`

Taking square root both the sides,

∴ PR = 13