Question

Find x in the right triangle.

A) 63
B) 175
C) 147
D) 324

Answer 1

The correct answer to this question is: C. 147

Answer 2

Answer : The value of 'x' is, $\sqrt{147}$

Step-by-step explanation :

To calculate the value of 'x' we are using Pythagoras theorem in ΔABC :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(AC)^2=(AB)^2+(BC)^2$

Given:

Side AB = 7

Side AC = 14

Side BC = x

Now put all the values in the above expression, we get the value of side BC.

$(14)^2=(7)^2+(x)^2$

$x=\sqrt{(14)^2-(7)^2}$

$DF=\sqrt{147}$

Thus, the value of 'x' is, $\sqrt{147}$