Question

In an isosceles triangle, the equal sides measure $\frac{2}{3}\text{(4x - 1)}$ and $\frac{4}{5}\text{(x + 5)}$ units. The value of $\text{x}$ is ___ units.

• A. 3.5
• B. 3
• C. 2.5
• D. 2

Answer 1

The correct option is C 2.5

Since the sides are equal,
$⟹\frac{2}{3}\text{(4x - 1)}=\frac{4}{5}\text{(x + 5)}$

$⟹\frac{\text{8x - 2}}{3}=\frac{\text{4x + 20}}{5}$

$⟹\text{(8x - 2)}\times 5=\text{(4x + 20)}\times 3$

$⟹\text{40x - 10}=\text{12x + 60}$

$⟹\text{40x - 12x}=\text{10 + 60}$

$⟹\text{28x}=\text{70}$

$⟹\text{x}=\text{2.5}$