Question

LOTS OF POINTS!!! HELP ASAP Consider triangle QRS. The legs each have a length of 10 units. What is the length of the hypotenuse of the triangle? 5 units 5 square root of 2 units 10 units 10 square root of 2 units

Answer 1

`10√(2)`

Explanation:

Pythagorean Theorem

QS^2+SR^2=QR^2

10^2+10^2=QR^2

100+100=QR^2

200=QR^2

`√(200)=QR`

`10√(2)`

Answer 2

In right Δ QRS, right angled at , S.

By Pythagorean theorem

→(Hypotenuse)²=(Altitude)^2 +(Base)²

→ Q S² + SR² = QR²

→10² +10²= QR²

→ QR²=100+100

→ QR²=200

`QR=√(200)\\\\ QR=√(10 * 10 * 2)\\\\ QR=10√(2)`

Option D

Hypotenuse
`=10√(2)` units