Question

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

Answer 1

${\underbrace{\tt{Question}}}\: \purple☟$

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

$\purple{\boxed{\tt{Given࿐}}}$

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

$\orange{\boxed{\tt{To\:find:-}}}$

• Base of the Triangle

$\purple{\boxed{\tt{Solution :-}}}$

➞ 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

________________

$\red{\boxed{\tt{Verification࿐}}}$

➞ Area of Triangle = ½ × Base × Height

➞ Area of Triangle = ½ × 80 × 31.4

➞ Area of Triangle = 40 × 31.4

➞ 1256 = 1256

$\purple{\boxed{\tt{Hence\: Verified}}}\green\checkmark$

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Therefore, Base of the Triangle = ${\bf{80m}}$

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$\red{\bf{✿┅═══❁✿ Be\:Brainly✿❁═══┅✿}}$

Answer 2

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

________________

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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