Q. 25.0( 2 Votes )

# 5, 12, 13 are the

Answer : Hypotenuse (AB) = 13

Perpendicular (AC) = 12

Base (BC) = 5

AC2 + BC2 = 52 + 122

AC2 + BC2 = 25 + 144

AC2 + BC2 = 169 = AB2

Hence Pythagoras theorem is valid

mC = 90

Let AD = x, BD = 13 – x

Applying Pythagoras theorem

Altitude CD2 = 122 – x2 = 52 – (13 – x) 2

144 – x2 = 25 – 169 – x2 + 26x

26x = 288

x = 11.07 units

So Altitude CD = √21.43 = 4.63 units

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