Question

Find the length of the hypotenuse of a right triangle whose legs are 5 and sqare root of 2

Answer 1

Answer:

The length of the hypotenuse is 3√3 units.

Step-by-step explanation:

It is given that the length of the legs of a right triangle are 5 units and √2 units.

According to the Pythagoras theorem, in a right angled triangle

$(hypotenuse)^2=(leg_1)^2+(leg_2)^2$

Substitute leg₁=5 and leg₂=√2 in the above formula.

$(hypotenuse)^2=(5)^2+(\sqrt{2})^2$

$(hypotenuse)^2=25+2$

$(hypotenuse)^2=27$

Taking square root both the sides.

$hypotenuse=\sqrt{27}$

$hypotenuse=3\sqrt{3}$

Therefore the length of the hypotenuse is 3√3 units.

Answer 2

2² + (√5)² = c²
4 + 5 = c²
9 = c²
c = 3

Sorry this is so late and was never answered. I just saw it pop up in the related questions.