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.

Solution Steps

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

For triangle \(\Delta ABC\):

• Base (\(BC\)) = 18 cm
• Height (\(AD\)) = 6 cm

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

For triangle \(\Delta EFG\):

• Base (\(HG\)) = 16 cm
• Height (\(EF\)) = 4 cm

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

Final Answer