Answer:
The given statement is true.
Explanation:
Given a statement
A right triangle with two congruent legs is always a 45-45-90 triangle.
we have to check the above statement either it is true or false.
Given a right triangle,
⇒ one of the angle of triangle is right angle i.e of 90°
Now, given two legs of right triangle are equal i.e the triangle is isosceles i.e two angle other than 90° are equal let these are x
By angle sum property of triangle, sum of all angles of triangle is 180°
⇒ 90°+x+x=180°
⇒ 2x=180°-90°=90°
⇒ x=45°
Hence, other two angles are of 45°
⇒ A right triangle with two congruent legs is always a 45-45-90 triangle.
∴ The statement is true.