Answer:
Other leg: 25 cm
Hypotenuse: 25√2 cm
Explanation:
Hi there!
We are given a 45°-45°-90° triangle, and one leg (a side that makes up the right triangle) measures 25 cm
We want to find the length of the other sides
First, let's find the length of the other leg
A 45°-45°90° triangle is actually an isosceles triangle, and if it was to be drawn, the base angles are 45 and 45 degrees
That means the legs of the right triangle are actually the legs in the isosceles triangle as well
So the other leg is also 25 cm
Now, let's find the length of the hypotenuse, which is the side OPPOSITE from the 90° angle
You can solve for the other side using Pythagorean Theorem if you wish, however, there is a shortcut to finding the hypotenuse
In a 45°-45°-90° triangle, if the length of the legs are a, then the hypotenuse is a√2 cm
So that means the length of the hypotenuse in this case is 25√2 cm
Hope this helps!