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Per NCERT, what does the converse of the Baudhāyana–Pythagoras (Pythagoras) theorem tell us about a triangle with sides 3, 4, 5?
AThe triangle is equilateral
BThe triangle is isosceles but not right-angled
CThe triangle does not exist with these sides
DSince 3² + 4² = 5², the triangle is RIGHT-ANGLED (with the right angle opposite the side of length 5)
Answer & Solution
Correct answer: D. Since 3² + 4² = 5², the triangle is RIGHT-ANGLED (with the right angle opposite the side of length 5)
Per NCERT, 3² + 4² = 9 + 16 = 25 = 5². By the converse of Baudhāyana–Pythagoras, the triangle is right-angled at the vertex opposite the side of length 5.
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