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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

LOTS OF POINTS!!! HELP ASAP Consider triangle QRS. The legs each have a length of-example-1
User JonathanZ
by
7.6k points

2 Answers

4 votes

Answer:


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)

User Priyesh
by
8.2k points
4 votes

Answer:

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

User Matt DeKrey
by
8.4k points

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