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Triangles between Parallel Lines with a Common Base
Last updated at March 13, 2026 by Teachoo
Triangles between Parallel Lines with a Common Base
Class 8 (Ganita Prakash - 1, 2 & Old NCERT)
Chapter 7 Class 8 - Area (Ganita Prakash II)
- Area of Rectangle and Square
- Perimeter vs Area
- Figure it out - Page 150-152
- Area of Triangle
- Applications of Area of Triangle Formula
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Triangles between Parallel Lines with a Common Base
- Figure it out - Page 157-159
- Area of any Polygon
- Figure it out - Page 160
- Area of Parallelogram
- Area of Rhombus
- Area of Trapezium
- Figure it out - Page 169-170
- Areas in Real Life
Transcript
Triangles between Parallel Lines with a Common BaseLet’s look at these Triangles between Parallel lines and having a common base Let’s look at their Areas Now, formula for Area of Triangle is Area of Triangle = 1/2 × Base × Height For all 3 triangles - ∆ XBC, ∆ YBC, ∆ ZBC, Base is same, i.e. BC And, for Height Here, XD, YE, ZF are perpendiculars between two parallel lines We know that Distance between parallel lines is the same So, XD = YE = ZF Thus, we can say that Area of these three triangles is same Or more generally, Area of Triangles between between Parallel Lines and a Common Base is equal
