Find the area of a isosceles triangle whose the same side are 13 cm and base is of 20 CM can you do this question by Pythagoras theorem
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Let the vertices of the given isosceles triangle be ABC respectively.
As it is an isosceles triangle, so two sides AB = AC = 13 cm
Length of the base BC = 20 cm
Construction: Draw perpendicular AD .
In triangle ADB,
=>> BD = 10cm (As D is mid point of BC)
=>> AB = 13 cm
=>> AD² + BD² = AB² (Using Pythagoras theorem)
=>> AD² + 10² = 13²
=>> AD² = 13² - 10² = 8.3 cm
So,
area of triangle ABC = 1/2 × 20 × 8.3 cm²
area of triangle ABC = 83 cm².
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Step-by-step explanation:
the area of isosceles triangle is 83sq.cm
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