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Help mee please, this is due today!!​

Help mee please, this is due today!!​-example-1

2 Answers

3 votes

Answer:


5√(5)
ROUNDED: 11.18

Explanation:

Use the Pythagorean Theorem to solve for a right triangle:
a^(2) +b^(2) =c^(2)

The legs are "a" and "b".

The hypotenuse (diagonal across from the right angle) is "c".

To start, fill in the values for the formula, then simplify.

a^(2) + 10^(2) = 15^(2)

a^(2) + (100) = (225)
Subtract 100 from both sides to leave
a^(2) by itself:

a^(2) = 125

Next, take the square root of each side.

\sqrt{a^(2) } = √(125)
The ^2 and square root cancel out for "a", giving you:

a=√(125)

Now, depending on if you need your answer in radical form or not, we simplify
√(125) to get your answer.

In radical form, simplify it to get:
5√(5)

In decimal form, take the square root of 125 and round to the needed value (likely tenths or hundredths). You should also round your answer, giving you: 11.18

User Aecolley
by
8.3k points
3 votes
a would be the square root of 325 or as a decimal it would be 18.0277563773

I used the a squared plus b squared equals c squared method so since 15 would be c and 10 would be a then 15 squared minus 10 squared equals 325 squared so the answer would be the square root if that
User GeertVc
by
8.5k points