Question

What is the value of x in the diagram below?
X + 2
8.
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Answer 1

Answer:x=15

Explanation:

remember the Pythagorean Theraum(sorry about spelling)

a^2 +b^2=c^2

the shortest is a^2 , b^2 is the second shortest, and c^2 is the hypotenuse, or the longest.

currently the hypotenuse (c^2)is x+2, (b^2) is x, and a^2 is 8

8x8=64

64+x^2=(x+2)^2

try solving it now.

64+15^2=(15+2)^2

289=289

So, x=15

Answer 2

15

Explanation:

Using the Pythagorean theorem,

`x^2 +8^2=(x+2)^2`

we can simplify 8 squared to 64, and we can use FOIL to expand x plus 2 squared.

`(x+2)(x+2)=x^2+4x+4`

We have

`x^2+64=x^2+4x+4`

We can subtract x squared plus four from both sides to get

`60=4x`

Dividing by 4, we get
`x=15`