The length of one side of triangle is 10 cm and the perpendicular from the opposite vertex is 8 cm .. If the length of another side of this triangle is 16 cm . what is the length of the perpendicular from opposite vertex to this side?
Answers
Given : The length of one side of triangle is 10 cm and the perpendicular from the opposite vertex is 8 cm ..
the length of another side of this triangle is 16 cm .
To Find : the length of the perpendicular from opposite vertex to 16 cm side
Solution:
Area of Triangle = (1/2) * Base * height
Height = Corresponding altitude = perpendicular from the opposite vertex
Area of Triangle = (1/2) * 10 * 8
length of the perpendicular from opposite vertex to 16 cm side = h cm
Area of Triangle = (1/2) * 16 * h
Equate area
(1/2) * 16 * h = (1/2) * 10 * 8
=> 16 * h = 80
=> h = 5 cm
length of the perpendicular from opposite vertex to this side = 5 cm
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