The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 m 2 , find its base and height.

Given: The base and the height of a triangle are in the ratio 4 : 5. The area of the triangle = 40 m 2 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 m 2 ⇒ 20x 2 = 40 m 2 ⇒ 10x 2 = 40 m 2 ⇒ x 2 = m 2 ⇒ x 2 = 4 m 2 ⇒ 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.

Two sides of a triangle are 6 cm and 8 cm. If the height of the triangle corresponding to 6 cm side is 4 cm; find :
(i) area of the triangle
(ii) height of the triangle corresponding to 8 cm side.

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The sides of a triangle are 16 cm, 12 cm and 20 cm. Find:
(i) area of the triangle
(ii) height of the triangle corresponding to the largest side
(iii) height of the triangle corresponding to the smallest side.

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The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is 67.5 m²; find its base and height.

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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

Related Questions

Two sides of a triangle are 6 cm and 8 cm. If the height of the triangle corresponding to 6 cm side is 4 cm; find :
(i) area of the triangle
(ii) height of the triangle corresponding to 8 cm side.

The sides of a triangle are 16 cm, 12 cm and 20 cm. Find:
(i) area of the triangle
(ii) height of the triangle corresponding to the largest side
(iii) height of the triangle corresponding to the smallest side.

The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is 67.5 m²; find its base and height.

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

Related Questions

Two sides of a triangle are 6 cm and 8 cm. If the height of the triangle corresponding to 6 cm side is 4 cm; find :(i) area of the triangle(ii) height of the triangle corresponding to 8 cm side.

The sides of a triangle are 16 cm, 12 cm and 20 cm. Find:(i) area of the triangle(ii) height of the triangle corresponding to the largest side(iii) height of the triangle corresponding to the smallest side.

The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is 67.5 m2; find its base and height.

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.

Two sides of a triangle are 6 cm and 8 cm. If the height of the triangle corresponding to 6 cm side is 4 cm; find :
(i) area of the triangle
(ii) height of the triangle corresponding to 8 cm side.

The sides of a triangle are 16 cm, 12 cm and 20 cm. Find:
(i) area of the triangle
(ii) height of the triangle corresponding to the largest side
(iii) height of the triangle corresponding to the smallest side.

The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is 67.5 m²; find its base and height.