If the lengths of two of the possible sides of a right triangle measure 4 root 15 and 7 root 6 what is the smallest possible len

Question

Lana71 [14]

3 years ago

5

If the lengths of two of the possible sides of a right triangle measure 4 root 15 and 7 root 6 what is the smallest possible len

gth of the third side

Mathematics

1 answer:

dmitriy555 [2] · Answer 1 · 2021-11-26T15:18:01+03:00

dmitriy555 [2]3 years ago

4 0

Given that the sides of a right angle measures 4sqrt15 and 7sqrt6, thus the possible size of the third side will be:
using Pythagorean theorem:
c^2=a^2+b^2
c^2=(4sqrt15)^2+(7sqrt16)^2
c^2=4^2*15+7^2*16
c^2=240+784
c^2=1024
hence;
c=sqrt1024
c=32
Th possible third side is 32