Question

32.
What is the value of x for ∆DEF?

HELP! Answer if you can!!​

Answer 1

x = 13

Explanation:

Using the Pythagorean Theorem to find the missing hypotenuse side:

`a^2+b^2=c^2`

12 and 5 are a and b. 'x' would be c.

`12^2+5^2=c^2\\\\12^2=144\\5^2=25\\\\144+25=c^2\\\\169=c^2\\\\√(169)=√(c^2)\\\\\boxed{13=c}`

'x' should be equal to 13.

Answer 2

Explanation:

`c^(2) = {a}^(2) + { b}^(2)`

Pythagoras theorem

x²=12² + 5²

x²=144+25

x²=169

`x = √(169)`

x=13