Question

If the base and height of a triangle are in the ratio 8 ∶ 5 and its area is 320 m². Calculate

the height and the base of the triangle.​

Answer 1

Solution :

In the above question ; it is mention that the height and base of a triangle are in the ratio of 8 : 5

Let them be 8x and 5x respectively .

The area of this triangle is 320 m² .

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>½ × AB × BC = 320

> ½ × 8x × 5x = 320

> 20x = 320

> x = 12

Base Of triangle = 5x = 60 m

Height of triangle = 8x = 96 m .

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Answer 2

Step-by-step explanation:

$\huge\bf\underline\green{answer}$

given,

ratio of base and height of triangle = 8:5

area of triangle = 320cm²

$\huge\fcolorbox{black}{pink}{answer}$

let,

base of triangle = 8x

height of triangle = 5x

area of triangle = 1/2×b×h

.: 320m² = 1/2×8x×5x

320m² = 1/2×40x²

320m² = 20x²

x² = 320m²/20

x² = 16m²

.: x = 4m

.: length of triangle = 8x = 8×4m = 32m

breadth of triangle = 5x = 5×4m = 20m