Question

2.Base of a triangle is 18 and height is 15.Base of another triangle is 10 and height is 12. Find the ratio of areas of these triangles.

Answer 1

The ratio of areas of these triangles is 9 : 5

Step-by-step explanation:

GIVEN

Base 1 = 18

Height 1 = 15

Base 2 = 10

Height 2 = 12

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We know that,

Area Of Triangle = ½ × Base × Height

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Let's find the area of triangle 1

Area Of Triangle = ½ × Base × Height

Area Of Triangle = ½ × 18 × 15

Area Of Triangle = 9 × 15

Area Of Triangle = 135

Area Of Triangle 1 = 135

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Let's find the area of triangle 2

Area Of Triangle = ½ × Base × Height

Area Of Triangle = ½ × 10 × 12

Area Of Triangle = 5 × 15

Area Of Triangle = 75

Area Of Triangle 2 = 75

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Now,

Let's find the ratio of the area of triangles

Area Of Triangle 1 / Area Of Triangle 2

= 135 / 75

= 27 / 15

= 9 / 5

= 9 : 5

The ratio of areas of these triangles is 9 : 5