Question

HELP

Given right triangle ABC.

In the given right triangle, find the length of the hypotenuse, AB, if BC = 6 and AC = 5.
A.5
B.√36
C.√61
D.√11

Answer 1

Use the Pythagorean Theorem:
A²+B²=C²
6²+5²=C²
36+25=C²
61=C²
√61=C
So the answer is C.

Answer 2

Correct answer is option C (√61)

Explanation:

in this question we have given a right triangle in which

∠C=
`90^(0)`

BC = 6 and AC = 5

we have to find the length of the hypotenuse, AB=?

To find the the hypotenuse we will apply Pythagoras theorem (According to Pythagoras theorem, "in a right angle triangle, square of hypotenuse is equal to the sum of square of other two sides")

In ΔABC by Pythagoras theorem

`AB^(2)=AC^(2)+BC^(2)`...................(1)

put values of BC and AC in equation 1

`AB^(2)=5^(2)+6^(2)`

`AB^(2)=25+36`

`AB^(2)=61`

AB=√61