Per NCERT, an ISOSCELES triangle has two sides of length a and a base of length 2b. By the Baudhāyana–Pythagoras theorem, the height h satisfies which equation?
Ah = a + b
Bh² = a² + b²
Ch = a − b
Dh² = a² − b² (so h = √(a² − b²))
Answer & Solution
Correct answer: D. h² = a² − b² (so h = √(a² − b²))
Per NCERT, dropping the perpendicular from the apex to the base splits the isosceles triangle into two right triangles with legs h and b, hypotenuse a — so by Pythagoras h² = a² − b².
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