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.

(i) Let a = 16 cm, b = 12 cm and c = 20 cm. ∵ Area of triangle = = cm 2 = cm 2 = cm 2 = 96 cm 2 Hence, area of triangle = 96 cm 2 . (ii) When, the largest side of the triangle = 20 cm Let the height of the triangle = h cm As we know, the area of the triangle = x side x height = x 20 x h [∵ Both areas remain same since they represent the area of the same triangle.] ⇒ x 20 x h = 96 ⇒ 10 x h = 96 ⇒ h = ⇒ h = 9.6 Hence, height of the triangle corresponding to 20 cm side is 9.6 cm. (iii) When, the smallest side of the triangle = 12 cm Let the height of the triangle = h cm As we know, the area of the triangle = x side x height = x 12 x h [∵ Both areas remain same since they represent the area of the same triangle.] ⇒ x 12 x h = 96 ⇒ 6 x h = 96 ⇒ h = ⇒ h = 16 cm Hence, height of the triangle corresponding to 12 cm side is 16 cm.

Find the area of a triangle whose sides are:
10 cm, 24 cm and 26 cm

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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 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.

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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 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.

Area Trapezium Polygon

Related Questions

Find the area of a triangle whose sides are:
10 cm, 24 cm and 26 cm

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 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.

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 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.

Area Trapezium Polygon

Related Questions

Find the area of a triangle whose sides are:10 cm, 24 cm and 26 cm

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 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.

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 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.

Find the area of a triangle whose sides are:
10 cm, 24 cm and 26 cm

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 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.

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.