What will be the perimeter (in units) of the yellow triangle, if the yellow and white triangle in the image are congruent?
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24 will be the answer.
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Let we name the yellow triangle as Δ ABC.
according to the question, AB = 14 cm, BC = 8 cm,
now we have to find out AC = ?
using Pythagoras formula we can get AC,
AC² = AB² + BC²
AC² =( 14)² +( 8 )²= 260
AC =√260= 16
∴AC will be 16 cm.
now we have to find out the perimeter of ΔABC.
perimeter of a Δ = some of 3 sides,
perimeter of ΔABC=(AB + BC + AC )cm.
=( 14+ 8+ 16) cm
= 38 cm.
Ans :- perimeter of yellow triangle will be 38 cm.
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