HERONS FORMULA EXTRA PROBLEMS
1)The lengths of the sides of a triangle are in the ratio 3:4:5 and its perimeter is 144cm. a)Find the area
of the triangle and the height corresponding to the longest side. b)Also find the longest altitude.
2) The area of an equilateral triangle is 22573 cm? .Find its side. Also find its altitude.
3) A rhombus shaped sheet with perimeter 40cm and one diagonal 12 cm is painted on both sides at the
rate of Rs 5/m2.Find the cost of painting.
4) Find the area of the right triangle in which sides of the triangle other than the hypotenuse are 18cm
and 80 cm. Also find the perimeter of the triangle.
5) ABCD is a parallelogram in which DC=12 cm, BC=17 cm and BD= 25 cm .Find the area of the
parallelogram and the length of the altitude AE from vertex A on side DC.
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