IB ACIO Grade II practice question
In kite WXYZ, diagonals WY and XZ intersect at O and are perpendicular. In right triangle WOX (right-angled at O), the side WX (a side of the kite) = 25 cm and WO = 7 cm. Find the length of OX.
From a IB ACIO Grade II Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (C) 24 cm
In right triangle WOX, WX is the hypotenuse and WO, OX are the legs. By Pythagoras: OX = √(WX² − WO²) = √(25² − 7²) = √(625 − 49) = √576 = 24 cm.
हिंदी में प्रश्न
पतंग WXYZ में विकर्ण WY और XZ बिंदु O पर लंबवत काटते हैं। समकोण त्रिभुज WOX में (O पर समकोण), पतंग की भुजा WX = 25 सेमी और WO = 7 सेमी है। OX की लंबाई ज्ञात करें।
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सही उत्तर: (C) 24 cm
समकोण त्रिभुज WOX में, WX कर्ण है और WO, OX भुजाएँ हैं। पाइथागोरस प्रमेय से: OX = √(WX² − WO²) = √(25² − 7²) = √(625 − 49) = √576 = 24 सेमी।
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