Question

[Worth: 30 Points]

What is the value of x?
Enter your answer in the box.

X = __

Answer 1

x = 5

Explanation:

Applying the Pythagorean Theorem to this equation is a very good idea:

Formula for Pythagorean T. - a2 + b2 = c2

We know what one 'leg' and they're asking us what the other one is

We also know that the hypotenuse is 13 since it is in the biggest side of the triangle

Let's solve with what we know:

a² + b² = c²

a² + 12² = 13²

a² + 144 = 169

a² = 169 - 144

a² = 25

a= √25

a = 5

So the answer for our missing 'leg' is 5

Hope this helps

Answer 2

Explanation:

A^2+B^2=C^2

12^2+B^2=13^2

144+B^2=169

B^2=25

B=5