Question

Which expression gives the length of QR in the triangle shown below?

Answer 1

`\small \sf A. \sqrt{25 {}^(2) + 17 {}^(2) }`

Explanation:

Using pythagoras theorem

( Base) ² + ( Perpendicular) ² = (Hypotenuse) ²

( QS)² + ( RS)² = (OR )²

( 25 )² + ( 5 )² = OR²

Taking square root of each side.

`\sqrt{25 {}^(2) + 17 {}^(2) } = √(OR)`

`\sqrt{25 {}^(2) + 17 {}^(2) } = {OR}`

Answer 2

sqrt( 17^2+ 25^2)

Explanation:

Since this is a right triangle, we can use Pythagorean theorem

a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse

Taking the square root of each side

sqrt(a^2+b^2) = QR

sqrt( 17^2+ 25^2) = QR