Question

The legs of a right triangle are 3 units and 2 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 1.00 unit 2.24 units 3.61 units 5.00 units

Answer 1

a^2 + b^2 = c^2......where a abd b are legs and c is the hypotenuse
3^2 + 2^2 = c^2
9 + 4 = c^2
13 = c^2...take the square root of both sides, eliminating the ^2
sqrt 13 = c
3.605 rounds to 3.61 units = c <===

Answer 2

The correct option is 3. The length of the hypotenuse 3.61 units.

Explanation:

It is given that the legs of a right triangle are 3 units and 2 units.

According to the Pythagoras theorem

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

Substitute leg₁=3 and leg₂=2 in the above formula.

`hypotenuse^2=(3)^2+(2)^2`

`hypotenuse^2=9+4`

`hypotenuse^2=13`

Taking square root both the sides.

`hypotenuse=√(13)`

`hypotenuse=3.60555`

`hypotenuse\approx 3.61`

The length of the hypotenuse 3.61 units. Therefore the correct option is 3.