Question

triangle ABC
is an isoscelles right triangle. In which angle A is 90 degree
and BC = 6cm. then AB = ?​

Answer 1

Answer:

Given,

triangle ABC is an isosceles right triangle in which angle A=90° and BC=6cm

∵ triangle ABC is  isosceles right triangle.

∴ AC=AB

From Pythagorean Theorem,

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

From figure,

BC^{2}=AC^{2}+AB^{2}

⇒2AB^{2} =6^{2} (∵AC=AB )

⇒AB^{2} =$\frac{36}{2}$

⇒AB=$\sqrt{18}$

∴AB=$3\sqrt{2}$

So, The value of sides AB is

$3\sqrt{2}$

Step-by-step explanation: