Question

The sides of a triangle are 25 cm, 39 em and 56 cm Find area, on the length
the perpendicular drawn from the opposite vertex to the side of 25 cm
15.
please help it's urgent​

Answer 1

Answer:

To find the area, we can use the Heron's formula.

Semi perimeter = \begin{gathered}\frac{25 + 39 + 56}{2} \\\end{gathered}225+39+56 

=》 60 cm

Now, put it in the Heron's Formula, which is:

\begin{gathered} \sqrt{60(60 - 25)(60 - 39)(60 - 56)} \\ \\ = > \sqrt{60(35)(21)(4)} \\ \\ = > 2\times 5 \times 6 \times 7 \\ \\ = > 420 \: {cm}^{2} \end{gathered}60(60−25)(60−39)(60−56)=>60(35)(21)(4)=>2×5×6×7=>420cm2 

Now, we can find the length of the altitude by putting the formula:

Area = \frac{1}{2} \times Base \times Height21×Base×Height 

=》 420 = \frac{1}{2} \times 25 \times Height21×25×Height 

=》 Height = \frac{420 \times 2}{25}Height=25420×2 

=》 \textbf{Height = 33.6 cm}Height = 33.6 cm 

Hope it Helps!! :)