Question

find out the height of triangle with length of base 400 cm and area 70 sq m​

Answer 1

Answer:

I think it may help you and you understand...

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Answer 2

❍Let the height of triangle be x m.

• Here,The base of triangle is 400 cm and area of triangle is 70 sq m.

➠Converting cm to m

$\\ \sf{base = 400 \: cm} \\ \\ \sf{1 \: cm = 0.01 \: m} \\ \\ \sf{400 \: cm = 400 \times 0.01 \: m} \\ \\ \sf{400 \: cm = 4 \: m}$

• So,The base of triangle is 4 m.

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$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\underline{\mathcal{According} \: to \: the \: Question:}$

As we know that,

$\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\boxed{\sf{Area_{(triangle)} = \frac{1}{2} \times b \times h}}$

Applying the values,

$\\ \: \: \: \: \: \: \: : \implies \sf{70 = \frac{1}{\cancel{{2}}} \times \cancel{4} \times x} \\ \\ \: \: \: \: \ \: \: \: \: \: \: \: \: : \implies \sf{70 = 2 \times x} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : \implies \sf{70 = 2x} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : \implies \sf{x = \frac{ \cancel{70}}{ \cancel{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : \implies \red \bigstar \underline{\boxed{\mathfrak{x = 35 \: m}}} \red{ \bigstar}$

• Therefore,The height of triangle is 35 m.

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