Question

Solve this please. Answer if you know please ​

Answer 1

Answer:

Answer:

The base of the triangle is 10 meters and the height of the triangle is 8 meters.

Step-by-step explanation:

The area of a triangle is,

Area = \dfrac{1}{2}bhArea=

2

1

bh

where bb is the base of the triangle and hh is the height of the triangle.

Given that the base of the triangle and the height of the triangle are in the ratio 5:45:4 . So we can write the base and height as,

\begin{gathered}base = 5x\\\\height = 4x\end{gathered}

base=5x

height=4x

where xx is a constant.

Also, the area of the triangle is 40 m^2m

2

. Thus we have the equation,

\begin{gathered}\implies \dfrac{1}{2}\times 5x\times 4x=40\\\\\implies 5x\times 4x=40\times 2= 80\\\\\implies 20x^2=80\\\\\implies x^2=\dfrac{80}{20}=4\\\\\implies x=2\end{gathered}

⟹

2

1

×5x×4x=40

⟹5x×4x=40×2=80

⟹20x

2

=80

⟹x

2

=

20

80

=4

⟹x=2

Since we got the value of xx , we get the base and height as,

\begin{gathered}base= 5x= 5\times 2=10\ m\\\\height= 4x=4\times 2=8\ m\end{gathered}

base=5x=5×2=10 m

height=4x=4×2=8 m

So the base is 10 meters and the height is 8 meters.