We are asked to calculate the area of five triangles labeled a, b, c, d, and e. All dimensions are in cm.

GeometryAreaTrianglesGeometric Formulas
2025/7/15

1. Problem Description

We are asked to calculate the area of five triangles labeled a, b, c, d, and e. All dimensions are in cm.

2. Solution Steps

The area of a triangle is given by the formula:
Area=12×base×heightArea = \frac{1}{2} \times base \times height
a) The base is 8 cm and the height is 4 cm.
Areaa=12×8×4=322=16Area_a = \frac{1}{2} \times 8 \times 4 = \frac{32}{2} = 16 cm2^2
b) The base is 8 cm and the height is 3 cm.
Areab=12×8×3=242=12Area_b = \frac{1}{2} \times 8 \times 3 = \frac{24}{2} = 12 cm2^2
c) The base is 7 cm and the height is 10 cm.
Areac=12×7×10=702=35Area_c = \frac{1}{2} \times 7 \times 10 = \frac{70}{2} = 35 cm2^2
d) The base is 1.8 cm and the height is 2 cm.
Aread=12×1.8×2=3.62=1.8Area_d = \frac{1}{2} \times 1.8 \times 2 = \frac{3.6}{2} = 1.8 cm2^2
e) The base is 5 cm and the height is 5 cm.
Areae=12×5×5=252=12.5Area_e = \frac{1}{2} \times 5 \times 5 = \frac{25}{2} = 12.5 cm2^2

3. Final Answer

Area of triangle a = 16 cm2^2
Area of triangle b = 12 cm2^2
Area of triangle c = 35 cm2^2
Area of triangle d = 1.8 cm2^2
Area of triangle e = 12.5 cm2^2

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