5. Three sides of a triangle have sides of length 6 inches, 8 inches, and 10 inches. One the ratio of the sides of the triangle is 6:8:10. This ratio can be simplified to 3:4:5.
a. How was the ratio simplified from 6:8:10 to 3:4:52
b. Another triangle also has side lengths in a ratio of 3 : 4:5. The largest side of the
triangle is 30 inches. What is the perimeter of the triangle?

mjbjbjhbghghghgkhjgkhj

c-4 is the final answer! : )

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4