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Given :-
- A trapezium whose area is 105cm square and bases are 14cm and 7cm.
To find :-
- Altitude of trapezium
Solution :-
- Area of trapezium = 105 cm²
- Bases of trapezium = 14cm and 7cm
As we know that
- → Area of trapezium = ½ (a + b) × h
- Where " (a + b) " is sum of parallel sides and " h " is Altitude.
According to the question
- → Bases of trapezium = parallel sides
- → Area of trapezium = 105 cm²
- → ½ (a + b) × h = 105
- → ½ (14 + 7) × h = 105
- → ½ × 21 × h = 105
- → 21/2 × h = 105
- → h = 105 × 2/21
- → h = 10 cm
Therefore,
- Height of trapezium is 10cm
More to know :-
- Area of circle = πr²
- Circumference of circle = 2πr
- Perimeter of rectangle =2(l + b)
- Perimeter of square = 4 × side
- Area of square = side × side
- Area of rhombus = ½ × product of diagonals
- Area of Parallelogram = base × height
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Answer:
10cm
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