HERONS FORMULA
21. The base of a right-angled triangle is 16 cm and hypotenuse is 34 cm. Find the area of the triangle.
22.Find the half of the perimeter of an equilateral triangle whose area is 4√ cm².
23.Find the area of the triangle whose sides are 5 cm, 7 cm and 9 cm.
24. The perimeter of a triangular field is 240 cm. If two of its sides are 78 cm and 50 cm,find the length of perpendicular on the side of length 50 cm from the opposite vertex.
25. The perimeter of the rhombus is 146 cm. One of the diagonal is 55 cm. Find the length of the other diagonal and area of the rhombus.
26. A field in the form of a parallelogram has sides 60 cm and 40 cm and one of its
diagonal is 80 cm. Find the area of parallelogram.
27. If each side of a triangle is doubled, then find the ratio of area of new triangle thus
formed and the original triangle.
28. The area of a trapezium is 475 cm² and height 19 cm. If one side of the trapezium is 4 cm greater than the other parallel side, then find their length.
29. The parallel sides of the trapezium field are 80 m and 20 m. These sides meet the
third side at right angles. The length of the fourth side is 90 m. If it costs Rs.5 to plough per m² of the field, find the total cost of ploughing the field.
30.The semi-perimeter of the triangle is 96 cm and its sides are in the ratio 3 : 4 : 5. Find
the area of the triangle.
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Answer:
1.Area: 1/2 x b x h
You need to find your height first so use Pythagoras
34^2 = 16^2 + b^2
Therefore b = 30
1/2 x 30 x 16 = 240cm^2
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