f the perimeter of a right angled triangle is 56 cm and area of the triangle is 84 sq. cm, then the length of the hypotenuse is (in cm)
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Perimeter of triangle = 56 cm
Semi perimeter = 56/2 = 28 cm.
Area of triangle = 84 cm²
R × S = 84
R = 84/28
R = 3 cm.
In a right angled triangle ,
R = Semi perimeter - Hypotenuse
3 = 28 - Hypotenuse
Hypotenuse = 28 - 3
Hypotenuse = 25 cm.
Semi perimeter = 56/2 = 28 cm.
Area of triangle = 84 cm²
R × S = 84
R = 84/28
R = 3 cm.
In a right angled triangle ,
R = Semi perimeter - Hypotenuse
3 = 28 - Hypotenuse
Hypotenuse = 28 - 3
Hypotenuse = 25 cm.
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