Question

If b=24 and c=10 what is for the missing side a= ? by Use the Pythagorean Theorem to find.

Answer 1

Answer:

a = 26

a ~ 21.8

Read explanation

Step-by-step explanation:

There are two possibilities;

$a^{2}+c^{2}=b^{2}$

Or

$b^{2}+c^{2}=a^{2}$

This is because one doesn't know the longest side, and hence there are two possibilities as to what the longest side is.

1. $a^{2}+c^{2}=b^{2}$

Substitute in the given values;

$a^{2}+(10)^{2}=(24)^{2}$

$a^{2}+100=576$

$a^{2}=476$

a=$\sqrt{476}$

a~21.8

2.$b^{2}+c^{2}=a^{2}$

Substitute in the given values;

$(24)^{2}+(10)^{2}=a^{2}$

$576+100=a^{2}$

$676=a^{2}$

$26=a$