Exercis 1. In the given figure, if ZA = 48°, ZB = 48° and C = 84°, then which of its two sides are equal in this triangle ? A 48° 48° 84° B.
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Solution
(i)
Since, (25)2=(7)2+(24)2⇒625=49+576⇒625=625
Hence, 7cm, 24cm and 25cm are the sides of Right Angled Triangle and its Hypotenuse is 25cm
(ii)
Since, (8)2=(3)2+(6)2⇒64=45
Hence, 8cm, 6cm and 3cm do not form Right Angled Triangle.
(iii)
Since, (100)2=(50)2+(80)2⇒10000=8900
Hence, 100cm, 50cm and 80cm do not form Right Angled Triangle.
(iv)
Since, (13)2=(12)2+(5)2⇒169=144+25⇒169=169
Hence, 13cm, 12cm and 5cm are the sides of Right Angled Triangle and its Hypotenuse is 13cm.
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