Question

X
ſocm
Jicm
A) 2V5 cm
B) V13 cm
D) V19 cm
C) 1 cm
ASAP

Answer 1

using pythagoras theorem

hyp 2=opp 2+adj 2

=( √6)(√6)+(√7)(√7)

hyp 2=13

hyp=√13

Answer 2

Given:

A right angle triangle with legs
`√(6)` cm and
`√(7)` cm. The length of the hypotenuse is x.

To find:

The value of x.

Solution:

Pythagoras theorem: In a right angle triangle,

`Hypotenuse^2=Base^2+Perpendicular^2`

Using the Pythagoras theorem, we get

`x^2=(√(7))^2+(√(6))^2`

`x^2=7+6`

`x^2=13`

Taking square root on both sides, we get

`x=√(13)` [Because side length is always positive]

The measure of hypotenuse is
`√(13)` cm.

Therefore, the correct option is B.