What is the area of the triangle ADE in the following figure
(a)45 cm² (b) 50 cm² (c) 55 cm² (d) 40 cm²
Solution:
The area of the shaded triangle △ADE is calculated as follows:
Area of △ADE = (1/2) × Base × Height
The base of the shaded triangle = AD = BC = 8cm
The height of the triangle = CD = AB = 10 cm
Area of △ADE = (1/2) × AD × CD
Area of △ADE = (1/2) × 8 × 10
Area of △ADE = 4 × 10 = 40 cm²
The correct choice is (d).
✦ Try This: What is the area of the triangle ADE in the following figure? (a) 36 cm², (b) 52 cm², (c) 48 cm², (d) 44 cm²
The area of the shaded triangle △ADE is calculated as follows:
Area of △ADE = (1/2) × Base × Height
The base of the shaded triangle = AD = BC = 6 cm
The height of the triangle = CD = AB = 12 cm
Area of △ADE = (1/2) × AD × CD
Area of △ADE = (1/2) × 6 × 12
Area of △ADE = 3 × 12 = 36 cm²
The correct choice is (a).
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Sample Problem 1
What is the area of the triangle ADE in the following figure (a) 45 cm² (b) 50 cm² (c) 55 cm² (d) 40 cm²
Summary:
The area of the triangle ADE in the given figure is 40cm²
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