Find the value of x in the isosceles triangle shown below

Answer : The correct option is, (B) x = 12

Solution :

Theorem : The isosceles triangle altitude theorem is that the altitude to the base of an isosceles triangle bisects the base of a triangle.

Therefore, the base of the triangle bisect into two equal length that means when the base length is 'x' then after bisection the length of the two equal side will be .

There are two right-angled triangle in the given isosceles triangle.

Now using 'Pythagoras theorem' in one of the right-angled triangle.

Pythagoras theorem :  

Applying 'Pythagoras theorem' in the right side of the isosceles triangle.

Therefore, the value 'x' in the isosceles triangle is 12.

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