class 10 standard maths
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question error, it is under root b⁴+4A²
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Step-by-step explanation:
ABC be a right angled triangle
right angled at B
let BC = b
area of right angled triangle. A = 1/2 × b × h
h = 2A/b
AC is hypotenuse
(AC)2 = √b2+4A2/ b2
= 1/b √b2 + 4A2
area of right angled triangle containing hypotenuse
A = 1/2 × 1/b √b2+ 4A2 × h
2Ab = √ b2 + 4A2 × h
h = 2Ab/√b2+4A2
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