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P-2 Pythagoras Theorem — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsP-2 Pythagoras Theorem1 Mark
Question
Some questions and their alternative answers are given. Select the correct alternative.
Height and base of a right angled triangle are $24\ cm$ and $18\ cm$ find the length of its hypotenuse
 
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Answer

By Pythagoras theorem
$(\text { Hypotenuse })^2=(\text { base })^2+(\text { Perpendicular })^2$
Given,
Base $=18 cm$
Perpendicular $=$ Height $=24 cm$
$\Rightarrow$ Hypotenuse $^2=24^2+18^2$
$\Rightarrow$ Hypotenuse $^2=576+324$
$\Rightarrow$ Hypotenuse $^2=900$
$\Rightarrow$ Hypotenuse $=30\  cm$

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