Question

Help ! could someone explain?

Answer 1

Answer:

$\boxed{\sf \ \ KM=10 \ \ }$

Step-by-step explanation:

Hello,

let 's note JK = a, KL = b and KM = x

in JKL we can write

$a^2+b^2=25^2$

in JMK

$5^2+x^2=a^2$

in MLK

$20^2+x^2=b^2$

So we can write

$5^2 + x^2 + 20^2+x^2=a^2 + b^2=25^2\\\\ 2x^2= 625 - 400 -25=200\\\\ x^2=100\\\\x=10$

hope this helps