Question

the base of the trianglular plot is twice of its height. If the area of the triangle is 144m square. Find the base and height of the plot.​

Answer 1

Step-by-step explanation:

half answer is here

n=21m

Dimensions :

height=n=21.

Base=2n=2(21)=42m

Answer 2

Given

• The base of the triangle plot is twice of its height.
• Area of the triangle is 144 m².

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To find

• Base and the height of the plot.

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Solution

• Let the height of the triangle be x.

Then,

⠀⠀⠀❍ Base of the triangle = 2x

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★ Formula used

$\boxed{\tt{\bigstar{Area_{(Triangle)} = \dfrac{1}{2} \times base \times height{\bigstar}}}}$

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Here,

• Base = 2x
• Height = x
• Area = 144

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$\tt\longmapsto{144 = \dfrac{1}{\cancel{2}} \times \cancel{2}x \times x}$

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$\tt\longmapsto{144 = x \times x}$

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$\tt\longmapsto{x^2 = 144}$

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$\tt\longmapsto{x = \sqrt{144}}$

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$\tt\longmapsto{x = ±12}$

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Hence,

• x(height) = +12

→ because height can't be negative.

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Therefore,

• Height = x = 12 m
• Base = 2x = 24 m

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