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.

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 $\triangle \mathrm{MNP}$.
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the formula for the area of a triangle

The formula for the area of a triangle is: Area=12×base×height \text{Area} = \frac{1}{2} \times \text{base} \times \text{height}

Step 2: Apply the formula to triangle ΔABC\Delta ABC

For triangle ΔABC\Delta ABC:

  • Base (BCBC) = 18 cm
  • Height (ADAD) = 6 cm

Using the formula: AreaΔABC=12×18cm×6cm \text{Area}_{\Delta ABC} = \frac{1}{2} \times 18 \, \text{cm} \times 6 \, \text{cm} AreaΔABC=12×108cm2 \text{Area}_{\Delta ABC} = \frac{1}{2} \times 108 \, \text{cm}^2 AreaΔABC=54cm2 \text{Area}_{\Delta ABC} = 54 \, \text{cm}^2

Step 3: Apply the formula to triangle ΔEFG\Delta EFG

For triangle ΔEFG\Delta EFG:

  • Base (HGHG) = 16 cm
  • Height (EFEF) = 4 cm

Using the formula: AreaΔEFG=12×16cm×4cm \text{Area}_{\Delta EFG} = \frac{1}{2} \times 16 \, \text{cm} \times 4 \, \text{cm} AreaΔEFG=12×64cm2 \text{Area}_{\Delta EFG} = \frac{1}{2} \times 64 \, \text{cm}^2 AreaΔEFG=32cm2 \text{Area}_{\Delta EFG} = 32 \, \text{cm}^2

Final Answer

  • Area of ΔABC\Delta ABC = 54 cm²
  • Area of ΔEFG\Delta EFG = 32 cm²
Was this solution helpful?
failed
Unhelpful
failed
Helpful