Question

the base of a right triangle is 15 cm and it's hypotenuse is 25 cm find it's area

Answer 1

It's 150cm sq.

h=20cm & b=15 so wkt 1/2*b*h

1/2*15*20=150cm sq.

I hope this is helpful ☺

Answer 2

$\huge\bf\boxed{150 \: cm^{2}}$

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In the Right Triangle ABC, right angled at B.

Perpendicular(AB) = ?

Base(BC) = 15 cm

Hypotenuse(AC) = 25 cm

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By Pythagoras Theorem,

$(AB)^{2} + (BC)^{2} = (AC)^{2}$

$=> (AB)^{2} + (15)^{2} = (25)^{2} \\\\=> (AB)^{2} + 225 = 625\\ \\=> (AB)^{2} = 625 -225\\ \\=> (AB)^{2} = 400\\\\=> AB = \sqrt{400} \\\\=> AB = 20 cm$

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Now, Area of Triangle = $\frac{1}{2} \times Base \times Height$

In a Right Triangle, Height = Perpendicular(AB) = 20cm

Area of Triangle = $\frac{1}{2} \times 15 \times 20\\\\=> 15 \times 10\\\\=> 150 \: cm^{2}$

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