Question

Been trying to solve this, need help

Answer 1

Given :-

• The given triangle is isosceles triangle.
• Length of one side is 4 .

To Find :-

• The value of x in simplest radical form.

Solution :-

The given triangle is a right isosceles triangle . So here we can use the Pythagoras theorem as ,

$\longrightarrow$ hypotenuse² = perpendicular ² + base²

$\longrightarrow$ x² = 4² + 4²

$\longrightarrow$ x² = 16 + 16

$\longrightarrow$ x² = 32

$\longrightarrow$ x = √32

$\longrightarrow$ x = √2⁵

$\longrightarrow$ x = 4 × 1.732

$\longrightarrow$ x = 6.928 ≈ 7