How to find sides and angles of a right isosceles triangle

Question

I'm unable to post a picture to go along with this, but the question is

The triangle ABC pictured below is a right, isosceles triangle. If the length of side AC is 3, give the lengths of the other two sides and the measures of angle A and angle B.

A is the angle on the left side of the triangle, B is the angle on the top, and C is the right angle on the bottom right.

Answer 1

The triangle ABC is a right, isosceles triangle; where A is the angle on the left side of the triangle, B is the angle on the top, and C is the right angle on the bottom right. If the length of side AC is 3, give the lengths of the other two sides and the measures of angle A and angle B.

1. The definition of isosceles triangle, means both legs are the same length; and their opposite angles are the same
2. All angles (in a triangle) add up to 180°

Use the above two definitions to answer the questions.

1. Given AC is 3, then BC is also 3
2. Given it's an isosceles triangle, both angle A and angle B must be equal to 45°; so all sum to 180° and the two angles must be equal to each other.

Make sense?

Answer 2

From your description AC is a side and not the hypotenuse . Since it is isosceles that would make AB =3

The hypotenuse can be calculated by pythagorean theorem

3^2 +3^2 =( side BC)^2= sqroot18 = 2sqroot 2

The angles of a right isosceles triangle are always 45-45-90