Figure it out - Page 157-159
Last updated at March 13, 2026 by Teachoo
Transcript
Question 5 In the Śulba-Sūtras, which are ancient Indian geometric texts that deal with the construction of altars, we can find many interesting problems on the topic of areas. When altars are built, they must have the exact prescribed shape and area. This gives rise to problems of the kind where one has to transform a given shape into another of the same area. The Śulba-Sūtras give solutions to many such problems. Such problems are also posed and solved in Euclid’s Elements. [Śulba-Sūtras] Give a method to transform a triangle into a rectangle of equal area.Keep the base of the triangle the same, but draw your rectangle so its height is exactly half the height of the triangle. Let’s look at it Step-by-Step Step 2: Find the exact halfway point of the height and slice it horizontally.