213k views
1 vote
What is the value of x
Enter your answer in the box

What is the value of x Enter your answer in the box-example-1
User Thrakbad
by
7.6k points

1 Answer

1 vote

Answer:

x = 8 units

Explanation:

Because this is a right triangle, we can find x using the Pythagorean theorem, which is given by:

a^2 + b^2 = c^2, where

  • a and b are the shorter sides called legs,
  • and c is the longest side called the hypotenuse (always opposite the right angle).

In the triangle, the 6 unit side and the x unit sides are the legs while the 10 unit side is the hypotenuse.

Thus, we can solve for x by plugging in 6 for a and 10 for c in the theorem and solving for a (aka x, simply a in the theorem):

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = 8

x = 8

Thus, x is 8 units.

User Enpith
by
9.0k points

No related questions found