Question

The hypotenuse of a right triangle is 25cm, and the shorter leg is 15cm. Find the length of the remaining leg.

A. 2 (Sqrt)5 cm
B. (Sqrt)10 cm
C. 20 cm

An explanation how to reach the answer, and the answer would be appreciated. Medal given of course.

Answer 1

basically use a^2+b^2=c^2

Answer 2

\(\large\color{midnightblue}{ \rm a^2+b^2=c^2 }\)
\(\large\color{midnightblue}{ \rm 15^2+b^2=25^2 ~~⇒~~\sqrt{25^2-15^2} ~~⇒~~?? }\) you tell me

Answer 3

So, 25^2 + 15^2 = the last leg?

Answer 4

Oh okay. I see.

Answer 5

So, the result of that is 400. And when you find the square root of 400.. It is 20. That's correct right?

Answer 6

@SolomonZelman

Answer 7

\(\bf c^2=a^2+{\color{blue}{ b}}^2\implies c^2-a^2={\color{blue}{ b}}^2\implies \sqrt{c^2-a^2}={\color{blue}{ b}}\to \sqrt{400}\to 20\)

yes

Answer 8

yes 20 is correct.

Answer 9

Another way to know this,

15 b 25
3 ? 5

a multiply of 3,4,5 :)

Answer 10

* mutliple