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lawyer [7]
3 years ago
8

If the base of a triangle is four times it's height and if the area of the triangle is 242 square millimeters can you find it's

base and height?
Mathematics
1 answer:
Mkey [24]3 years ago
8 0
h-the\ height \\a-the\ base\ \ \ \wedge\ \ \ a=4h\\A-area\ of\ a\ triangle\ \ \ \wedge\ \ \ A=242\ [mm^2]\\ \\A= \frac{1}{2} \cdot a\cdot h=\frac{1}{2} \cdot 4h\cdot h=2h^2\ \ \ \Rightarrow\ \ \ 2h^2=242\\ \\h^2=121\ \ \ \wedge\ \ \ h>0\ \ \ \Rightarrow\ \ \ h=11\ [mm]\ \ \ \Rightarrow\ \ \ a=44\ [mm]
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\qquad❄️\boxed{\bf x = 7}\\\\

We are given –

\qquad \twoheadrightarrow\bf 8x -2 y =48

  • And also value of y's given. So, just put the value of y in the given equation.

___________________________________

\qquad \purple{\twoheadrightarrow\bf 8x -2 y =48}

\qquad \twoheadrightarrow\sf  8x - \underbrace{2 \times 4} =48

\qquad \twoheadrightarrow\sf  8x - 8 =48

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