Question

What is the value of x?

Answer 1

The value of x is 3.

Solution:

In the given triangle, a = 4, b = 3, x = ? and y = 2.25.

To find the value of x:

The image of the formula is attached below.

Angle bisector theorem:

An angle bisector of a triangle divides the interior angle's opposite side into two segments that are proportional to the other two sides of the triangle.

$\frac{a}{b}=\frac{x}{y}$

$\frac{4}{3} =\frac{x}{2.25}$

Do cross multiplication.

9 = 3x

Divide by 3 on both sides,

3 = x

Switch the sides.

x = 3

The value of x is 3.