Question

Find the area of the triangle. A drawing of a triangle with base of 12 and a half feet and height of 4 feet.

Answer 1

`\large\boxed{ \sf Area = 25\ ft .^2}`

Explanation:

We need to find out the area of the triangle which has a base of 12.5ft and s height of 4ft.

We know that the formula for calculating the area of the triangle is ,

`\sf:\implies \pink{Area_(\triangle)=(1)/(2)* (b)* (h)}\\`

where,

• b is the base .
• h is the height .

F I G U R E : -

`\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){$\large\bf 4\ ft $}\put(2.8,.3){$\large\bf 12.5\ ft$}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\end{picture}`

Now on substituting the respective values, we have;

`\sf:\implies Area = (1)/(2)* (12.5) * (4) \ ft.^2 \\`

Simplify,

`\sf:\implies \underline{\underline{\boxed{\sf Area = \frak{25\ ft.^2} }}} \\`

Hence the area of the triangle is 25ft.²