Question

please help ASAP will give brainlist.

A triangle has one side length of 12 inches and another of 8 inches. Describe all possible lengths of the third slide. Show and explain your reasoning.

Answer 1

144+64= 178

$\sqrt{178 } = 13.3$

a^2+b^2= c^2

Whenever finding a missing length use the formula up above :

a^2+b^2= c^2

a^2-b^2= c^2

144-64= 80

$\sqrt{80} = \sqrt{16 } \times \sqrt{5} = 4 \sqrt{5} = 8.9$

Answers are 13.3 and 8.9