Question

The area of a triangle is 84 m square . It's base is 14m, the corresponding altitude will be ​

Answer 1

Answer:

Here it is given that

Area of a triangle whose one of it's base is = 14m

is given as 84m²

Area = 84m²

Base size is equal to = 14m

To find it's height , to find the Altitude

Let the Altitude or Height be "X"

There are two Process to find the Height when area of Triangle is given

• Heron's Formula
• Normal Area of Triangle Formula

Here we are Taking normal Formula So

Area of Triangle = 1/2×b×h

84m² = 1/2×14m×h

84m² = 7m×h

h = 84m²/7m

h = 12m

#BAL

#answerwithquality

Answer 2

$\huge\mathbb{SOLUTION:-}$

$\bf{Given:-}\begin{cases}\sf{Area\:of\: triangle=84m{}^{2}}\\ \sf{base=14m}\end{cases}$

$\huge\star{\sf{\red{To\:Find:-}}}$

• We have to find the height of triangle

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

• Now

• The height of triangle

$\sf\implies Area\:of\triangle=\frac{1}{2}\times base\times height\\ \\ \sf\implies 84=\frac{1}{\cancel2}\times \cancel{14}\times h\\ \\ \sf\implies 84=7h\\ \\ \sf\implies \cancel{\frac{84}{7}}=height\\ \\ \sf\implies Height =12m$

• The height of ∆ is

$\huge\boxed{\sf{\star{\red{Height\:of\: triangle=12m}}}}$

#BAL

#answerwithquality