The area of a right angle is 50. one of its angles is 45 degrees. find the lengths of the sides and hypotenuse of the triangle.

It's isosceles triangle (look at the picture).

The area of the this triangle:

We have

Substitute:

Use the Pythagorean theorem:

10, 10, 10√2

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.