Question

A triangle with an area of 36 square meters has a base that is 10 meters long. What is the height of the triangle?

Answer 1

Answer:

7.2 meters.

Step-by-step explanation:

We know that area of a triangle: .5*base*height

So, .5*10*height=36

or, height=7.2 meters

Answer 2

$\setlength{\unitlength}{1.6mm}\begin{picture}(50,20)\linethickness{0.1mm}\put(-3,-3){\line(1,1){20}}\put(-3,-3){\line(1,0){39.5}}\put(36.6,-2.8){\line(-1,1){19.8}}\put(17,-3){\line(0,1){20}}\put(18,5){height}\put(3,5){}\put(13,-5){10m}\end{picture}$

$\\ \:\:$

$\green{\bf{\underline{\underline{\bigstar Solution : }}}}$

$\:\:$

$\blue{\tt{ Area\:of\: triangle = \dfrac{ base \times height }{2} }}$

$\blue{\tt{\implies {36m}^{2} = \dfrac{ 10m \times height }{2} }}$

$\blue{\tt{\implies {36m}^{2} \times 2 = 10m \times height }}$

$\blue{\tt{\implies {72m}^{2} = 10m \times height }}$

$\blue{\tt{\implies \dfrac{ {72m}^{2} }{10m} = height }}$

$\:\:$

$\blue{\tt{\implies \cancel {\dfrac{ {72m}^{2} }{10m}} = height }}$

$\blue{\tt{\implies 7.2m = height }}$

$\\ \:\:$

$\red{\bf{\underline{7.2m \: is\: height }}}$