Question

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

Answer 1

Answer:

15

Step-by-step 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 $x=15$

Answer 2

Answer:x=15

Step-by-step 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