Question

In a right isosceles triangle, the measure of line AB is 4. What is the measure of line AC?

2√(2)

4

16

4√(2)

32

Answer 1

Is m(<A) = 90

Answer 2

depends on order of A, B and C.
if AB is leg, then AC = 4sqrt(2)
if AB is hypotenuse, then AC = 2sqrt(2)

Answer 3

Question must be more specific..

Answer 4

AB can't be hypotenuse..

Answer 5

why

Answer 6

If AB is hypotenuse then BC will also 4 because it is isosceles..

And as this is right triangle hypotenuse must be greater of the other two..

Answer 7

i attached a diagram

Answer 8

Yep angle B is right angle and AC is hypotenuse..

Answer 9

so what is is the measure of the hypotenuse?

Answer 10

Use pythagorean theorem..

Answer 11

\[AC^2 = AB^2 + BC^2\]

Answer 12

Find AC from here...

AB = BC = 4 here..

Answer 13

would it be 16?

Answer 14

Don't guess..

Use the above formula to find AC..

Answer 15

\[AC^2 = (4)^2 + (4)^2 = ??\]

Answer 16

32

Answer 17

So:
\[AC^2 = 32\]

Take the Square root both the sides to find AC now..

Answer 18

4√(2)

Answer 19

Yep...