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A right-angled triangular window pane has an area of . One of the two sides forming the right angle is 14 cm. Find the other such side (in cm).

Class 7Perimeter and AreaPerimeter and Area
  • A6
  • B12
  • C24
  • D70

Step-by-Step Solution

In a right triangle the two legs are the base and height: → → cm. Dropping the and computing 84 ÷ 14 gives the trap 6.
Answer: B) 12

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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