Question

Find all the missing angels

Answer 1

Answer: 15, 15

Explanation:

It is a 45, 45, 90 triangle. This means that both of the legs have the same lengths and the hypotenuse is sqrt2 times the length of one of the legs.

Since sqrt2 is irrational, it is easy to look at the coefficient of it. Since the coefficient is 15, the lengths of the sides are also 15.

Answer 2

15, 15

Explanation:

Since this triangle is a right triangle has it's other two angles at 45 degrees, (180-90-45=45 for the last angle) we know that it's a 45-45-90 triangle and can use the rules in the image below to solve the other two sides:

Because the hypotenuse of this triangle is 15
`√(2)`, then we know that the other two side lengths are 15
`√(2)`/
`√(2)`, or in this case, just 15.