The area of a paralleogram with base 24 is equal to the area of a triangle of sides 10cm , 24 cm and 26 cm . Find the height ( altitude) of parallelogram
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In que their is given three sides of triangle
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First find the area of triangle using heron's formula
S=10+24+26=60cm÷2=30cm
Under root s(s-a)(s-b)(s-c)
Under root30(30-10)(30-24)(30-26)
Under root30(20)(6)(4)
Split the numbers
Under root 5×6×2×5×2×6×2×2
Take out the common number out of root
5×6×2×2
Area of triangle=120cm
Area of triangle =area of parallelogram
Area of parallelogram =120cm
Area of parallelogram =base×height
120=24×height
Height =120÷24=5cm
S=10+24+26=60cm÷2=30cm
Under root s(s-a)(s-b)(s-c)
Under root30(30-10)(30-24)(30-26)
Under root30(20)(6)(4)
Split the numbers
Under root 5×6×2×5×2×6×2×2
Take out the common number out of root
5×6×2×2
Area of triangle=120cm
Area of triangle =area of parallelogram
Area of parallelogram =120cm
Area of parallelogram =base×height
120=24×height
Height =120÷24=5cm
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