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If we are talking a² + b² = c² instead of looking for the hypotenuse we look for a leg and it doesnt matter where it is placed.. so for there forth you'll do

24² + b² = 40²

and then from there you square all the numbers so then you get

576 + b² = 1600

then subtract 576 from both sides so you are left with

b² = 1024

and finally square root it

b = 32

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lauren6751 lauren6751 · Answer 2 · 2019-12-29T21:50:24+01:00

Answer: 32

Step 1: Formula

Let’s rewrite the formula for Pythagorean theorem

a²+b²=c²

The c is going to be the hypotenuse, which is the longest angle. This number is 40 in this equation.

We know that we need to solve for b, meaning that a is 24. Let’s substitute these numbers into the equation.

a²+b²=c²

24²+b²=40²

We see that the numbers have a squared sign next to them. Though we can’t square b, we can for 24 and 40. Let’s do this now.

24²+b²=40²

576+b²=1600

We want to get b² in the left side alone. So let’s subtract 576 on both sides.

576+b²=1600
-576 -576
___________
b²= 1024

Now since b is still squared we need to undo that. Let’s do this by finding the square root on both numbers/variables.

b²= 1024

√b²= √1024

Now let’s find the answer to find the final answer for b.

√b²= √1024

b= 32

This is the answer!

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