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Two triangles stand on the same base and between the same pair of parallel lines. What can you say about their areas?

Class 7Perimeter and AreaPerimeter and Area
  • AThey are equal
  • BThe taller one is larger
  • CThey are always different
  • DCannot be compared

Step-by-Step Solution

Triangles on the same base and between the same parallels have the same height, so equal areas (½ × base × height).
Answer: A) They are equal

Key idea: Triangle area

**Area of a triangle = ½ × base × height.**

The base is any side you choose; the height is the perpendicular distance from that base to the opposite vertex (NOT the slant length of another side). For a right triangle, the two legs that meet at the right angle ARE the base and height.

Example: triangle with base 6 cm and height 4 cm. Area = ½ × .

The perimeter of a triangle is just the sum of its three sides — no formula needed.

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