Answer:
119
Explanation:
- The Pythagorean Theorem says that the sum of the squares of a right triangle's shorter sides equals the square of the longest side (i.e., the hypotenuse, which is always opposite the right angle).
Thus, we can find c by plugging in 10 for a and 3 for b in the Pythagorean Theorem:
Step 1: Plug in 10 for a and 3 for b. Then simplify.
10^2 + 3^2 = c^2
100 + 9 = c^2
119 = c^2
Step 2: Take the square root of both sides to solve for c, the missing length:
√(119) = √(c^2)
√119 = c
Thus, c = √119.
Since your website only wants you to write the number without the square root brackets, type 119.