Question

the area of a triangle is 240 metre square if its base is 48 metre find the length of the corresponding altitude​




answer please

Answer 1

$\huge\underline{\underline{\bf{\red{Solution;-}}}}$

$\large\underline{\underline{\mathtt{\purple{Given:-}}}}$

Area of triangle which is :-

$\sf\implies 240m{}^{2}$

and it's base which is 48 m

we have to find the corresponding altitude or height of triangle

Now

$\large\underline{\underline{\mathtt{\red{According\:TO\:QuEstion:-}}}}$

We know that the area of triangle

$\sf\implies \frac{1}{2}\times base\times height$

Now put the values which is given :-

$\sf \frac{1}{2}\times48\times height=240m{}^{2}\\ \\ \sf\implies 48\times height=240×2\\ \\ \sf\implies 48height=480\\ \\ \sf\implies height=\frac{\cancel480}{\cancel48}\\ \\ \sf\implies height =10m$

The height of the triangle is 10 cm

Now let's verify our answer:-

$\large\underline{\underline{\mathtt{\purple{Verification:-}}}}$

$\sf \frac{1}{2}\times48\times10=240\\ \\ \sf\leadsto \frac{\cancel480}{\cancel2}=240\\ \\ \sf\leadsto 240=240$

__ L.H.S=R.H.S. ___

Verified !

$\large\boxed{\underline{\underline{\mathtt{Height=10m:-}}}}$

Answer 2

GIVEN :-

• Area of the triangle = 240m²
• Base of the triangle = 48m

TO FIND :-

• Height of Triangle

SOLUTION :-

• Area of Triangle = 240m²
• Base of Triangle = 48m

AS WE KNOW :-

$\boxed {\rm \pink{ \frac{1}{2} \times b \times h = area}}$

WHERE,

• b = base of Triangle
• h = height of Triangle

According to the Question,

$:\large\implies\rm{ \frac{1}{2} \times 48 \times h = 240}$

:$\large\implies \rm{48 \times h = 240 \times 2}$

:$\large\implies \rm{h = \large\frac{240 \times 2}{48} }$

:$\large\implies \rm{h = 10}$

Hence,

The Height of Triangle is 10m.