1.

Calculate the area of a right-angled triangle whose one angle is 45° and hypotenuse 20 cm.

Answer»

Angle of the right 45°, 45°, 90°

Ratio of sides = 1 : 1 : √2

hypotenuse = 20cm

∴ The other two sides are \(\frac{20}{\sqrt{2}}\) cm each

∴ Area of the right angled triangle = \(\frac{1}{2}\times\frac{20}{\sqrt{2}}\times\frac{20}{\sqrt{2}}\) = \(\frac{1}{2}\times\frac{20\times20}{2}=100\) cm2



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