The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 m², find its base and height.
Area Trapezium Polygon
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The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 m², find its base and height.

KnowledgeBoat · Accepted Answer

Given: The base and the height of a triangle are in the ratio 4 : 5. The area of the triangle = 40 m² Let the base of the triangle be 4x m. And, the height of the triangle be 5x m. As we know, the area of a triangle = side height ⇒ 4x 5x = 40 m² ⇒ 20x² = 40 m² ⇒ 10x² = 40 m² ⇒ x² = m² ⇒ x² = 4 m² ⇒ x = m ⇒ x = 2 m So, base of the triangle = 4x = 4 x 2 m = 8 m And, height of the triangle = 5x = 5 x 2 m = 10 m Hence, base and height of the triangle are 8 m and 10 m, respectively.

Mathematics

The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 m², find its base and height.

Area Trapezium Polygon

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The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 m2, find its base and height.

Area Trapezium Polygon

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