What is the value of p?

Question

A right triangle with angles measuring 45, 45 and 90 and a leg measuring P and hypotenuse measuring 44
22
22 sqrt 2
44
44 sqrt 3
It always helps to know how...thanks

Answer 1

Pythagoras theorem

hyp^2 = b^2 + c^2
where b and c are the other two sides

As it is a triangle with two 45 degree angles then b and c would be the same. In this case, P

So you get

hyp^2 = P^2 + P^2

See how you get on with the question now.

Answer 2

so what was the answer?

Answer 3

22 sq rt 2

Answer 4

here's the answers to the quick check.

1. D
2. A
3. B
4. B
5. C

by the way, Plum is correct. The answer is 22 sq rt 2