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

An inverse function reverses (x, f(x)) to make it (f(x), x). The 1st selection does that....

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

breannaasmith1122

18.07.2021

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.

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