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आने वाले दो (02) प्रश्नों के लिए निम्नलिखित पर विचार कीजिए: मान लीजिए ABC एक त्रिभुज है, जो B पर समकोणीय है और AB+AC = 3 इकाई है।
यदि त्रिभुज का क्षेत्रफल अधिकतम है, तो ∠A किसके बराबर है?
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दिया गया,
मान लीजिए
तब,
त्रिभुज का क्षेत्रफल है,
अधिकतम करने के लिए, सेट अप करते हैं
अतः,
इसलिए,
∴
अतः, सही उत्तर विकल्प 3 है।
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