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Find the altitude of a trapezium, …

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Find the altitude of a trapezium, the sum of the lengths of whose base is 6.5 cm and whose area is 26cm square.

Posted by Khushi Arora 6 years, 3 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 6 years, 3 months ago

Let a and b are two parallel sides of a trapezium .

Given ,

a+b = 6.5 cm ,

Let altitude = h cm

Area of the trapezium (A)=26 cm²

{tex}\frac{1}{2}\times (a+b)h=26{/tex}

{tex}\implies \frac{1}{2}\times 6.5 \times h = 26{/tex}

{tex}\implies h = \frac{26\times 2}{6.5}\\=4 \times 2 \\=8\:cm{/tex}

Therefore,

{tex}Altitude \: of \: the \\ trapezium (h) = 8 \:cm{/tex}

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