Question

4. Stuck with this question that I don’t understand

Answer 1

`\mathrm{10cm}`

Explanation:

`\mathrm{First\ we\ draw\ and\ label\ the\ figure\ as\ given\ below:}\\\mathrm{Here\ AB\ is\ height\ of\ triangle\ and\ BC\ is\ its\ base.}\\\mathrm{We\ know,}\\\mathrm{Area\ of\ triangle=(1)/(2)AB* BC=(1)/(2)AB*\ 8}\\\mathrm{or,\ 24=4AB}\\\mathrm{or,\ AB=6cm}\\`

`\mathrm{Perimeter\ of\ any\ closed\ figure\ is\ sum\ of\ all\ lengths\ of\ outer\ boundary.\ In}\\\mathrm{this\ case,\ AB, BC\ and\ AC\ are\ outer\ lengths\ of\ the\ triangle.\ So\ they\ add\ up\ to}\\\mathrm{give\ the\ perimeter\ of\ the\ triangle.}\\\mathrm{So\ perimeter=AB+BC+AC}\\\mathrm{or,\ 24=8+6+AC}\\\mathrm{or,\ AC=10cm}`