Question

What is the lateral area of the triangular prism in square cm.

Answer 1

Solution

What is the lateral area of the triangular prism in square cm.

The lateral area of the triangular prism is

$A_l=(a+b+c)h$

Using the pythagoras theorem

$\begin{gathered} b=10 \\ a=6 \\ c=x \\ b^2=a^2+c^2 \\ 10^2=6^2+c^2 \\ c^2=100-36 \\ c^2=64 \\ c=\sqrt{64} \\ c=8 \end{gathered}$$\begin{gathered} A_l=(10+6+8)22 \\ A_l=24(22) \\ A_l=528cm^2 \end{gathered}$

Therefore the lateral area of the triangular prism = 528cm²