if area of a triangle is 12cm^2 and its hypotenuse is 5 cm, find its base and height
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Step-by-step explanation:
MATHS
a+b=7⇒a=7−b...(1)
a2+b2=52
a2+b2=25...(2)
From (1) and (2)
(7−b)2+b2=25
49+b2−14b+b2=25
2b2−14b+24=0
b2−7b+12=0
(b−4)(b−3)=0
⇒b=4,3
a=7−b⇒a=3,4
Area=21×4×3=6sq. units
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