I need to find the perimeter of a triangle with the left and right angles being 45 and the top angle being 90. The bisector is 7". what is the perimeter?

The perimeter of the triangle is 2+√2

Explanation:

Since one of the angles of the triangle is 90°, the triangle in question is a right angled triangle.

Since two angles of the triangle are also equal, then two of the its sides will be equal.

Let the opposite and the adjacent sides of the triangle be 1. To get the hypotenuse side, we will apply the Pythagoras theorem which States;

Hypotenuse² = Adjacent²+opposite²

Hyp² = 1²+1²

Hyp = √1²+1²

Hyp = √2

The third side of the triangle is √2.

The perimeter of the triangle will be the sum of all its sides i.e 1+1+√2

= 2+√2

The perimeter of the triangle will be 2+√2