Mathematics
The length and the breadth of a rectangle are 6 cm and 4 cm respectively. Find the height of a triangle whose base is 6 cm and area is 3 times that of the rectangle.
Mensuration
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Answer
Given:
Length of the rectangle = 6 cm
Breadth of the rectangle = 4 cm
Area of the rectangle = length x breadth
= 6 x 4 cm2
= 24 cm2
Let h be the height of the triangle.
Base of the triangle = 6 cm
It is given that area of triangle is 3 times the area of the rectangle.
Area of triangle = x base x height
⇒ 3 x 24 = x 6 x h
⇒ 3 x 24 = 3 x h
⇒ x 24 = x h
⇒ h = 24 cm
Hence, the height of the triangle is 24 cm.
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