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gladu [14]
3 years ago
5

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

Mathematics
2 answers:
saveliy_v [14]3 years ago
8 0

Answer:

10\sqrt{2}

Step-by-step explanation:

Pythagorean Theorem

QS^2+SR^2=QR^2

10^2+10^2=QR^2

100+100=QR^2

200=QR^2

\sqrt{200}=QR

10\sqrt{2}

AysviL [449]3 years ago
3 0

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=\sqrt{200}\\\\ QR=\sqrt{10 \times 10 \times 2}\\\\ QR=10\sqrt{2}

Option D

Hypotenuse=10\sqrt{2} units

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