Question

ABC is an isosceles right triangle.

1). A = _____.
2). B = _____.
3). If AC = 3, then BC = _____ and AB = _____.
4). If BC = 4 then BC = _____ and AB = _____.
5). If BC = 9, then AB = ______.
6). If AB = 7 Square root 2, then BC = _____.
7). If AB = 2 square root 2, then AC = _____.

Answer 1

1) 45°

2) 45°

3) BC= 3 AB= sqrt(18)=3sqrt(2)

4) BC= 4 AB= sqrt(32)=4sqrt(2)

5) 9sqrt(2)

6) 7

7) 2

sqrt means square root

AC = AB because it is isosceles

pythagore theorem is used to solve 3 to 7

AB²= AC²+CB²

In 1 and 2 it is the angle in an isosceles triangle