Applying the Triangle Inequality Theorem In triangle ABC, AB measures 25 cm and AC measures 35 cm.
The inequality
centimeters
represents the possible third side length of the triangle, s,in
V
The inequality
centimeters,
J represents the possible values for the perimeter, p, of the triangle, in
Don
us Activity

15 batches are the most you can make

step-by-step explanation:

c

step-by-step explanation:

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