Triangle DEF is similar to triangle GHI.
Measure of side HI = 33.6 (nearest tenth)
What is a triangle?
"A triangle is a 3-sided polygon sometimes (but not very commonly) called the trigon. Every triangle has three sides and three angles, some of which may be the same. The sides of a triangle are given special names in the case of a right triangle, with the side opposite the right angle being termed the hypotenuse and the other two sides being known as the legs."
Given
DE =5, FE = 8
Triangle DEF is similar to triangle GHI.
So, [tex]\frac{DE}{GH} =\frac{FE}{HI}[/tex]
⇒ [tex]\frac{5}{8} = \frac{21}{x}[/tex]
⇒ [tex]5x = 21[/tex] × [tex]8[/tex]
⇒ [tex]x = \frac{21}{8}[/tex] × [tex]\frac{1}{5}[/tex]
⇒ [tex]x = 33.6[/tex] (nearest tenth)
Hence, Measure of side HI = 33.6 (nearest tenth)
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