Question

If the height/altitude of the triangle is 31.4 mm & area 1256 sq .mm, find its base

Answer 1

Correct Question :-

• If the height/altitude of the triangle is 31.4m & area 1256m² , find its base.

Given :-

• Shape = Triangle
• Area of Triangle = 1256m²
• Height of Triangle = 31.4m

To Find :-

• Base of the Triangle

Solution :-

➞ Area of Triangle = ½ × Base × Height

➞ 1256 = ½ × Base × 31.4

➞ 1256 × 2 = Base × 31.4

➞ 2512 = Base × 31.4

➞ 2512 / 31.4 = Base

➞ 80m = Base

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Verification :-

➞ Area of Triangle = ½ × Base × Height

➞ Area of Triangle = ½ × 80 × 31.4

➞ Area of Triangle = 40 × 31.4

➞ 1256 = 1256

Hence Verified

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Therefore, Base of the Triangle = 80m

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Answer 2

Step-by-step explanation:

Correct Question :-

If the height/altitude of the triangle is 31.4m & area 1256m² , find its base.

$\begin{gathered} \\ \end{gathered}$

Given :-

Shape = Triangle

Area of Triangle = 1256m²

Height of Triangle = 31.4m

$\begin{gathered} \\ \end{gathered}$

To Find :-

Base of the Triangle

$\begin{gathered} \\ \end{gathered}$

Solution :-

➞ Area of Triangle = ½ × Base × Height

➞ 1256 = ½ × Base × 31.4

➞ 1256 × 2 = Base × 31.4

➞ 2512 = Base × 31.4

➞ 2512 / 31.4 = Base

➞ 80m = Base

________________

Verification :-

➞ Area of Triangle = ½ × Base × Height

➞ Area of Triangle = ½ × 80 × 31.4

➞ Area of Triangle = 40 × 31.4

➞ 1256 = 1256

Hence Verified

________________

Therefore, Base of the Triangle = 80m

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