Question

the base and height of the triangle are in the ratio 3 is to 2 and its area is 182 cm find its base and height

Answer 1

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

Given :- Base:Height = 3:2

Area :- 182cm

Therefore,

Base. 3

———— = ———

Height. 2

Therefore,

Base = 3x

Height = 2x

Area = 1/2 × base ×height

182 = 1/2 × 3x × 2x

182 × 2 = 6x^2

182 × 2

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

6

x^2 = 60.67

x = √60.67

x = 7.78

Therefore,

Base = 3×7.78

= 23.34cm

Height = 2×7.78

= 15.56cm Ans

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( Answer By :- Anshul Kumar )