Question

The angles in a right angled isosceles triangle are

• A. ${90}^{\circ },{30}^{\circ },{60}^{\circ }$
• B. ${90}^{\circ },{20}^{\circ },{70}^{\circ }$
• C. ${90}^{\circ },{40}^{\circ },{50}^{\circ }$
• D. ${90}^{\circ },{45}^{\circ },{45}^{\circ }$

Answer 1

The correct option is D ${90}^{\circ },{45}^{\circ },{45}^{\circ }$

In geometry, an isosceles triangle is a triangle that has two sides of equal length and the angle opposite to the equal sides are also equal.

In right angled triangle one angle is ${90}^{\circ }$ and hence,

From diagram,

$2x+{90}^{\circ }$$=$${180}^{\circ }$

$\therefore$ $x=$ ${45}^{\circ }$

$\therefore$ the angles in a right angled isosceles triangle are ${90}^{\circ },{45}^{\circ },{45}^{\circ }.$