AP Police SI practice question
An isosceles triangle has two equal sides of 26 cm each and a base of 20 cm. Find its area.
From a AP Police SI Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (B) 240 cm²
Drop a perpendicular from the apex to the base; it bisects the base into two parts of 10 cm each. By Pythagoras, height = √(26² − 10²) = √(676 − 100) = √576 = 24 cm. Area = (1/2) × base × height = (1/2) × 20 × 24 = 240 cm².
हिंदी में प्रश्न
एक समद्विबाहु त्रिभुज की दो बराबर भुजाएँ 26 सेमी-26 सेमी हैं और आधार 20 सेमी है। इसका क्षेत्रफल ज्ञात कीजिए।
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (B) 240 cm²
शीर्ष से आधार पर लंब डालने पर यह आधार को दो बराबर भागों (10 सेमी प्रत्येक) में बाँट देता है। पाइथागोरस प्रमेय से, ऊँचाई = √(26² − 10²) = √(676 − 100) = √576 = 24 सेमी। क्षेत्रफल = (1/2) × आधार × ऊँचाई = (1/2) × 20 × 24 = 240 वर्ग सेमी।
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