Question : The lengths of the two sides adjacent to the right angle of a right-angled triangle are 1.6 cm and 6.3 cm. Find the length of the hypotenuse.
Option 1: 6.7 cm
Option 2: 7.5 cm
Option 3: 6.5 cm
Option 4: 7 cm
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Correct Answer: 6.5 cm
Solution :
Given, Base = 1.6 cm and Perpendicular = 6.3 cm
Applying Pythagoras theorem, we get,
$\small\text{Hypotenuse}^2 = \text{Base}^2+\text{Perpendicular}^2$
⇒ $h^2=(1.6)^2+(6.3)^2$
⇒ $h^2=2.56+39.69=42.25$
⇒ $h=\sqrt{42.25}=6.5$ cm
Hence, the correct answer is 6.5 cm.
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