Question

A right triangle has side lengths of 6, 10, and x. find x if it is the hypotenuse

Answer 1

X= root 6^2 + 10^2

X=2 root 34

So, x is 11.66 to 2d.p

(root means square root)

Hope this helps!

Answer 2

x = 11.66

Explanation:

Hello!

We can use the Pythagorean theorem to solve for the hypotenuse.

Pythagorean Theorem:
`a^2 + b^2 = c^2`

• a = leg
• b = leg
• c = hypotenuse

Plug the values of 6 and 10 into the formula to solve.

Find the Hypotenuse

• 
  `a^2 + b^2 = c^2`
• 
  `6^2 + 10^2 = c^2`
• 
  `36 +100 = c^2`
• 
  `136 = c^2`
• 
  `c = \sqrt{136`
• 
  `c \approx 11.66`

The hypotenuse is approximately 11.66.