Question

If in a right triangle, leg a = 15 and the hypotenuse, c = 22, what does the other leg, b equal?

Answer 1

Answer:

$\sqrt{259}$ or approximately 16.09

Step-by-step explanation:

Using the pythagorean theorem, the formula would be $a^{2} + b^{2} = c^{2}$

insert 15 into a and 22 into c.

you will get $15^{2} + b^{2} = 22^{2}$

That simplifies into 225 + $b^{2}$ = 484

subtract the 225 from 484 to isolate the variable

then you will get $b^{2}$ = 259

square root both sides to get rid of the square: $\sqrt b^{2}$ = $\sqrt{259}$

if you want the decimal version, fully square root the number and you will get approximately 16.09 (rounded to the nearest hundredth)