Question

Chapter: 12 HERON'S FORMULA
LEVEL :1
1) Calculate the side of an isosceles right angle triangle of hypotenuse 572 cm.
2) Find the length of each side of an equilateral triangle having an area of 9V3 cm
3) If the area of an equilateral triangle is 36V3cm, find the height.
LEVEL : 2
4) The perimeter of an isosceles triangle is 42cm and its base is (3) times each of the equal
sides. Find the length of each side and area of the triangle.
5) Find the area of a quadrilateral ABCD in which AD = 24cm, < BAD = 90° and B. C&D form
an equilateral A of side 26cm (use v3 = 1.73]
6) The side of a A are in the ratio 5:12:13 and its perimeter is 150m. find the area of the A
LEVEL: 2
7) A square and an equilateral triangle have equal perimeters. If the diagonal of the square is
12V2 cm, then calculate the area of the triangle.
8) The parallel sides of a trapezium are 60cm, 77cm and the other sides are 25cm, 26cm.
find the area of the trapezium.
9) The measure of one side of right triangular field is 42cm. if the difference of the lengths of
hypotenuse and the other is 14cm. Find the side of the triangle and its area.
10) The base of an isosceles triangle measure 24cm and its area is 60cm. Find its perimeter.
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Answer 1

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