Question

the sides of a triangle are 16cm,12cm and 20 cm.Find (i) area of the triangle (ii) height of the triangle,corresponding to largest side (iii) height of the triangle,corresponding to the smallest side

Answer 1

Use herons formula to find the area

Answer 2

hey mate
here is your answer

i) area of triangle
semiperimeter =16+12+20/2=48/2=24
$= \sqrt{24(24 - 16)(24 - 12)(24 - 20)} \\ = \sqrt{24 \times 8 \times 12 \times 4} \\ = \sqrt{12 \times 2 \times 8 \times \times 12 \times 4} \\ = 12 \times 4 \times 2 \\ = 48 \times 2 \\ = 96$
ii)
$96 = 20 \times \frac{1}{2 } \times h \\ 96 = 10h \\ 9.6 = h$
iii)
$96 = 12 \times \frac{1}{2} \times h \\ \frac{96 \times 2}{12} = h \\ \frac{96}{6} = h \\ 16 = h$
hope it helps