Question

Find the height of the triangle whose area is equal to 56 dm square base is equal to 2.8m

Answer 1

Given :

• Area of Triangle is 56 dm² .
• Base of Triangle is 2.8 m .

To Find :

• Height of Triangle .

Solution :

$\longmapsto\tt{Base=2.8\times{10}=28\:dm}$

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:\triangle=\dfrac{1}{2}\times{b}\times{h}}$

Putting Values :

$\longmapsto\tt{56=\dfrac{1}{{\cancel{2}}}\times{{\cancel{28}}}\times{h}}$

$\longmapsto\tt{56=14h}$

$\longmapsto\tt{h=\cancel\dfrac{56}{14}}$

$\longmapsto\tt\bf{h=4\:dm}$

So , The Height of Triangle is 4 dm ..

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VERIFICATION :

$\longmapsto\tt{56=\dfrac{1}{{\not{2}}}\times{28}\times{{\not{4}}}}$

$\longmapsto\tt{56=28\times{2}}$

$\longmapsto\tt\bf{56=56}$

HENCE VERIFIED