Question

A right triangle has a leg length of square root of 10 and a hypotenuse length of 6. Determine the length of the other leg of the right triangle.

A. 64
B. 8
C. square root of 46
D. square root of 26

Answer 1

`√(26)`

Explanation:

We can use the pythagorean theorem
`a^2+b^2=c^2`

Now we fill in what we know

`√(10) ^2+b^2=6^2`

Simplify

`10+b^2=36`

Subtract 10 from both sides

`b^2=26`

Square root both sides

`b=√(26)`

Hope this helps please let me know if you have any questions