Question

calculate the value of x​

Answer 1

Answer:

2 calculate the value of ❌

Answer 2

Firstly, we will observe the figure, We can see there are two triangles: 1 Large and one small.

The one line on two sides of a small triangle represents the sign of congruency, It means these two sides are the same and the triangle is an equilateral triangle so all sides in the small triangle are equal to 12.

Hence, the two sides of the large triangle are 12 and the third side is x.

The triangle is right angle triangle so we can apply the Pythagoras theorem here,

${\sf{H^2\:=\:B^2\:+\:P^2}$

Where,

H = Hypotenuse

B = Base

P = Perpendicular.

Now, we will construct a triangle for better understanding.

$\rule{190pt}{2pt}$

Solution:

${\sf{H^2\:=\:B^2\:+\:P^2}}\\{\sf{x^2\:=\:12^2\:+\:12^2}}\\{\sf{x^2\:=\:144\:+\:144}}\\{\sf{x^2\:=\:288}}\\\\{\sf{\star\:Taking\:square\:root\:on\:both\:side}}\\\\{\sf{\sqrt{x^2}\:=\:\sqrt{288}}}\\{\sf{x\:=\:16.97}}$

$\rule{190pt}{2pt}$

Answer:

${\boxed{\large{\text{\sf{x\:=\:16.97}}}}$