The hypotenuse of a right triangle is 17 cm long.if one of the two remaining sides is of length 8 cm,find the length of the third side.
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3rd side 15cm
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15cm
Step-by-step explanation:
Pythagorean theorem
assume the triangle is named abc
let AC=17cm
let BC=8cm
to find AB
=> AC^{2} = AB^{2} + BC^{2}
=> AB^{2} = AC^{2} - BC^{2}
=> AB = \sqrt{AC^{2} - BC^{2} }
=> AB = \sqrt{17^{2} - 8^{2} }
=> AB = \sqrt{289-64}
=> AB = \sqrt{225}
=> AB = 15
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