Question

find the base of a triangle whose area is 25m^2 and height is 5m​

Answer 1

Question:-

find the base of a triangle whose area is 25m² and height is 5m

Answer:-

• The base of triangle is 10 m.

To find:-

• Base of triangle

Solution:-

• Height of triangle = 5 m
• Area of triangle = 25 m²

As we know,

$\large{ \boxed{ \mathfrak{ area = \frac{1}{2} \times b \times h}}}$

Where,

• b = base of triangle
• h = height of triangle

According to question,

$\large{ \tt : \implies \: \: \: \: \: \: \frac{1}{2} \times 5 \times b = 25}$

$\large{ \tt : \implies \: \: \: \: \: \: 5 \times b = 25 \times 2}$

$\large{ \tt : \implies \: \: \: \: \: \: b = \frac{ \cancel25 \times 2}{ \cancel5}}$

$\large{ \tt : \implies \: \: \: \: \: \: b = 5 \times 2}$

$\large{ \tt : \implies \: \: \: \: \: \: b = 10}$

Hence,

The base of triangle is 10 m.

Answer 2

Given

• Area of the triangle = 25m².
• Height of the triangle = 5m.

⠀

To find

• Base of the triangle.

⠀

Solution

• Let the base of the triangle be b.
• We have area and height of the triangle.

⠀

⠀⠀⠀⠀❍ We know that

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

⠀

Putting the values

$\tt\longmapsto{\dfrac{1}{2} \times base \times 5 = 25}$

⠀

$\tt\longmapsto{\dfrac{1}{2} \times base = \dfrac{25}{5}}$

⠀

$\tt\longmapsto{\dfrac{1}{2} \times base = 5}$

⠀

$\tt\longmapsto{base = 5 \times 2}$

⠀

$\bf\longmapsto{base = 10}$

⠀

Hence,

• The base of the triangle is 10m.

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