Question

Question
Find the unknown side length in the given triangle. Round to the nearest hundredth.(1 point)
Incorrect

In a right triangle, the Pythagorean theorem states that a2+b2=c2 .

Answer 1

I don't see the triangle or the side lengths — could you post the numbers or an image? Meanwhile here's how to do it with the Pythagorean theorem and two short examples.

Method
- If the unknown is the hypotenuse c: c = sqrt(a^2 + b^2).
- If the unknown is a leg (say a) and you know the other leg b and hypotenuse c: a = sqrt(c^2 − b^2).
- Round the final answer to the nearest hundredth (look at the third decimal: if ≥5 round the second decimal up).

Examples
1) Given legs a = 5, b = 7, find hypotenuse c:
c = sqrt(5^2 + 7^2) = sqrt(25 + 49) = sqrt(74) ≈ 8.602325...
Rounded to the nearest hundredth: c ≈ 8.60.

2) Given hypotenuse c = 10 and one leg b = 6, find the other leg a:
a = sqrt(10^2 − 6^2) = sqrt(100 − 36) = sqrt(64) = 8.00.

Send the side lengths (or the triangle image) and I’ll compute the unknown and round it for you.