Question

The area of a right-angled triangle is 54 cm2. If the base of the triangle is 9 cm, find the corresponding height of the triangle.

6 cm

9 cm

12 cm

45 cm

Answer 1

$\red{\underline{\underline{Answer:}}}$

$\sf{Height \ of \ the \ triangle \ is \ 12 \ cm}$

$\sf\orange{Given:}$

$\sf{\implies{Area \ of \ right \ angled \ \triangle=54 \ cm^{2}}}$

$\sf{\implies{Base(b)=9 \ cm}}$

$\sf\pink{To \ find:}$

$\sf{Height(h) \ of \ the \ triangle.}$

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

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

$\sf{\therefore{54=\frac{1}{2}\times9\times \ h}}$

$\sf{\therefore{h=\frac{54\times2}{9}}}$

$\sf{\therefore{h=6\times2}}$

$\sf{\therefore{h=12 \ cm}}$

$\sf\purple{\tt{\therefore{Height \ of \ the \ triangle \ is \ 12 \ cm}}}$

Answer 2

★$\color{darkblue}\underline{\underline{\sf Answer:}}$

$\rm\pink{Height \ of \ the \ triangle \ is \ 12 \ cm}$

___________________________________________

$\sf\green{Given:}$

$\rm{Area \ of \ right \ angled \ triangle \ = \ 54 \ cm^{2}}$

$\rm{Base \ = \ 9 \ cm}$

___________________________________________

$\sf\orange{To \ find:}$

$\rm{Height \ of \ the \ triangle.}$

______________________________________________

★$\color{purple}\underline{\underline{\sf Solution:}}$

$\rm{Area \ of \ triangle=\frac{1}{2}\times \ height\times \ base}$

⇒$\rm{54=\frac{1}{2}\times9\times \ h}$

⇒$\rm{height \ = \ \frac{54\times2}{9}}$

⇒$\rm{height\ = \ 6 \times2}$

⇒$\rm{height \ = \ 12 \ cm}$

⇒$\rm\pink{\tt{\therefore{Height \ of \ the \ triangle \ is \ 12 \ cm}}}$

______________________________________________

$\rm\red{hope \ it \ helps \ :))}$