Question

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

Answer 1

Given:

A right angle triangle with legs $\sqrt{6}$ cm and $\sqrt{7}$ 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

$x^2=(\sqrt{7})^2+(\sqrt{6})^2$

$x^2=7+6$

$x^2=13$

Taking square root on both sides, we get

$x=\sqrt{13}$                  [Because side length is always positive]

The measure of hypotenuse is $\sqrt{13}$ cm.

Therefore, the correct option is B.

Answer 2

Answer:

using pythagoras theorem

hyp 2=opp 2+adj 2

=( √6)(√6)+(√7)(√7)

hyp 2=13

hyp=√13