The area of an isosceles right angled triangle is 450cm square. Find its sides
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Let the base and height of isosceles right angled triangle be 'a'
(base and height are equal as it is isosceles triangle)
Area of an isosceles right angled triangle = 450 cm²
½ × base × height = 450
½ × a × a = 450
½ × a² = 450
a² = 450×2
a² = 900
a² = 30²
a = 30
Therefore,the base and height = 30 cm
hypotenuse² = base²+ height²
hyp² = 30² + 30²
hyp² = 2(30)²
hyp = √2(30)²
hyp = 30√2 cm
Therefore,the sides are 30 cm,30 cm and 30√2 cm
(base and height are equal as it is isosceles triangle)
Area of an isosceles right angled triangle = 450 cm²
½ × base × height = 450
½ × a × a = 450
½ × a² = 450
a² = 450×2
a² = 900
a² = 30²
a = 30
Therefore,the base and height = 30 cm
hypotenuse² = base²+ height²
hyp² = 30² + 30²
hyp² = 2(30)²
hyp = √2(30)²
hyp = 30√2 cm
Therefore,the sides are 30 cm,30 cm and 30√2 cm
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