Question

1. A 45-45-90 triangle has a side equal to 5. What is the measure of the other side?

2. A 45-45-90 triangle has a side equal to 5. What is the measure of the hypotenuse?

3. A 30-60-90 triangle has a short side equal to 3. What is the measure of the long side?

4. A 30-60-90 triangle has a short side equal to 3. What is the measure of the hypotenuse?

Answer 1

In a 45-45-90 triangle, the two legs (sides not hypotenuse) are congruent. The hypotenuse measures sqrt(2) times the leg.
In a 30-60-90 triangle, the hypotenuse is twice the length of the short leg. The long leg measures sqrt(3) times the short leg.

Answer 2

1 is an isosceles triangle with two equal sides and an hypotenuse
2 is an isosceles triangle with 2 equal sides so use pythagoras theorem

Answer 3

Thanks!