Question

area of a right angled triangle is 144 CM square and its base is 12cm . find the perpendicular of the triangle ​

Answer 1

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

$\small{\underline{\blue{\sf{Given :}}}}$

• Area of Triangle = 144 cm²
• Base = 12 cm

$\rule{200}{1}$

$\small{\underline{\green{\sf{Solution :}}}}$

$\large {\star{\boxed{\sf{Area \: = \: \dfrac{1}{2} \: Base \: \times \: Height}}}}$

$\footnotesize {\sf{\pink{\: \: \: \: \: \: \: \: \: \: \: \: Put \: Values}}}$

$\implies {\sf{144 \: = \: \dfrac{1}{\cancel{2}} \: (\cancel{12}) \: \times \: Height}}$

$\implies {\sf{144 \: = \: 6 \: \times \: Height}}$

$\implies {\sf{\dfrac{\cancel{144}}{\cancel{6}} \: = \: Height}}$

$\implies {\sf{Height \: = \: 24}}$

$\large{\boxed{\sf{Height \: = \: 24 \: cm}}}$

∴ Height is 24 cm

Answer 2

$\huge\mathfrak{Solution:-}$

$\sf{\underline{\pink{Given:-}}}$

Area of right angled triangle =144sq.cm

Base of triangle=12cm

$\sf{\underline{\blue{To\:Find:-}}}$

we have to find the height of triangle

$\boxed{\sf{Area\:of\: \triangle=\dfrac{1}{2}\times base\times height}}$

$\sf\implies 144 =\dfrac{1}{2}\times 12\times height\\ \\ \sf\implies 144\times 2=12\times height\\ \\ \sf\implies \cancel{\dfrac{288}{12}}=height\\ \\ \sf\implies 24=height$

$\boxed{\sf{\blue{Height\:of\: \triangle=24cm}}}$