Question

The base and height of a triangle are in the ratio 3:4and its area is294cm2
.find its base and height.

Answer 1

Here is the Step-by-step explanation of your query:-

Given :- Base : Height = 3:4

Area of ∆ = 294cm^2

Therefore,

Base. 3

----------- = ------

Height. 4

Therefore,

Base = 3X

Height = 4X

Therefore,

Area = 1/2 × base × height

294 = 1/2 × 3x × 4x

294 × 2 = 12x^2

294 × 2

------------- = x^2

12

x^2 = 24.5 × 2

x^2 = 49

x = 7

Therfore,

Base = 3×7

= 21cm

Height = 4×7

= 28cm Ans

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( Answer By :- Anshul Kumar )