Question

the base and height of a triangle are in the ratio 3:4 and its area is 150 m² find the base and height​

Answer 1

Answer:

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Answer 2

Solution:-

Given:-

• Ratio of base and height = 3:4
• Area = 150 m²

To Find :-

• Base
• Height

Formula:-

$Area = \frac{1}{2} × Base × Height$

Assumption:-

Let, Base = 3x

And, Height = 4x

By The Problem:-

Plot The Value:-

$Area = \frac{1}{2} × Base × Height\\ 150 = \frac{1}{2} × 3x ×4x\\ 150 = 6x^{2} \\ x^{2} =\frac{150}{6} \\ x^{2}=25\\ x = \sqrt{25} \\ ∴ x = 5$

Answer:-

Base = 3x=3×5=15 m

Height=4x=4×5=20 m

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