Question

the area of a triangle is 15 sq cm . if height of the triangle is 6 cm, then find its base .
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Answer 1

Answer:

Area of a ∆ = 1/2 × base × height

15 = 1/2 × base × 6

base = 30/6 = 5 cm And...

Answer 2

$\:\:\:\: \Large \underline {\sf{Given\::}}$

➟ Area of ∆ = 15 cm²

➟ Height of ∆ = 6 cm

$\:\:\:\: \Large \underline {\sf{To\:Find\::}}$

➟ Base of ∆

$\:\:\:\: \Large \underline {\sf{Solution\::}}$

➟ Let the base be " b "

$\underline{\boxed{\sf{\red{Formula\:used\:=\: \dfrac{1}{2} \times base \times height}}}}$

$\implies \sf 15\:=\: \dfrac{1}{2} \times b \times 6$

$\implies \sf 6b\:=\: 15 \times 2$

$\implies \sf 6b\:=\: 30$

$\implies \sf b\:=\: \cancel \dfrac{30}{6}$

$\:\:\:\:\:\:\: \Large {\underline{\underline{\sf{Base\:=\:5\:cm}}}}$

Final ans is 5 cm

And we are done !

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