Questions: APPLYING THE AREA FORMULA
1. Use the formula to calculate the areas of the following triangles: triangle ABC, triangle EFG, triangle JKL and triangle MNP.
Transcript text: APPLYING THE AREA FORMULA
1. Use the formula to calculate the areas of the following triangles: $\triangle \mathrm{ABC}, \triangle \mathrm{EFG}, \Delta \mathrm{JKL}$ and $\triangle \mathrm{MNP}$.
Solution
Solution Steps
Step 1: Identify the formula for the area of a triangle
The formula for the area of a triangle is:
Area=21×base×height
Step 2: Apply the formula to triangle ΔABC
For triangle ΔABC:
Base (BC) = 18 cm
Height (AD) = 6 cm
Using the formula:
AreaΔABC=21×18cm×6cmAreaΔABC=21×108cm2AreaΔABC=54cm2
Step 3: Apply the formula to triangle ΔEFG
For triangle ΔEFG:
Base (HG) = 16 cm
Height (EF) = 4 cm
Using the formula:
AreaΔEFG=21×16cm×4cmAreaΔEFG=21×64cm2AreaΔEFG=32cm2