Question

The leg of a right triangle is 4 units and the hypotenuse is 9 units. What is the length, in units, of the other leg of the triangle?

Answer 1

Hi Welcome to Openstudy!

Do you know the Pythagorean theorem?

\(\sf \large hypotenuse^2=adjacent^2+opposite^2\) or \(\sf \large c^2=a^2+b^2\)

you are looking for the other leg(assume it is leg b), so you just have to transfer a to be with c

so you have to subtract both sides by \(\sf a^2\)
and you'll get \(\sf \large b^2=c^2-a^2\)

where c = 9 units and a= 4 units
plug in your given values and solve for b (:

Answer 2

5

Answer 3

THank you so much :)

Answer 4

both of you