Mensuration - area of triangle

1.       Find the area of a triangle whose base is 25cm and height is 10.8cm.

2.       Find the area of an equilateral triangle whose side is 11cm.

3.       The lengths of sides of a triangle are in the ratio 3:4:5 and its perimeter is 144cm. find (a) the area of the triangle and (b) the height corresponding to the longest side.

4.       A triangle has sides 35cm, 54cm, ad 61cm. find the area. Also find the smallest of its altitudes.

5.       The perimeter of a triangular field is 240cm. of two of its sides are 78cm and 50cm find the length of the perpendicular on the side of length 50cm from the opposite vertex.

6.       Find the area of the triangle whose base is 24cm and the corresponding height measure 14.5cm.

7.       Find the area of a triangular field whose sides are 50m, 45m and 35m.

8.       The area of a triangle is 48sq metre . what is its altitude?

9.       In a triangle ABC AB=15cm, BC=13cm and AC=14cm. find the area of triangle ABC and hece it altitude onBC.

10.   Find the area of an isosceles triangle whose one of the equal sides measures 10cm and third side 8cm.

11. The perimeter of a triangle is 360m and its sides are in the ratio 9:40:41. find the area of the triangle. What special name you can give it?

12. The perimeter of a triangular field is 540m and its sides are in the ratio 25:17:12. Find the area of the triangle. Also, find the cost of ploughing the field at Rs 18.80 per 100 sq meter.

13. The lengths of the sides of a triangle are 5cm, 12cm and 13cm. Find the length of perpendicular from the opposite vertex to the side whose length is 13cm.

14. Find the area of a quadrilateral ABCD whose sides are 9m, 40m, 28m and 15m respectively and the angle between the first two sides is a right angle.

15. A park is in the shape of a quadrilateral ABCD has <C = 90, BC= 12m, CD= 5m and AD=8m. How much area does it occupy?
Find the area of quadrilateral ABCD in which AB=3cm BC=4cm CD=4cm DA=5cm and AC=5cm.
17. Students of a school staged a rally for cleanliness campaign. They walked through the lanes in two groups. One group walked through the lanes AB,BC, and CA; while the other through AC,CD and DA. Then they cleaned the area enclosed within their lanes. If Ab=9m BC=40m CD=15m DA=28m <B=90 which group cleaned more area and by how much? Find the total area cleaned by the students.
18. An umbrella is made by stitching 10 triangular pieces of two different colours, each piece measuring 20cm, 50cm and 50cm, How much cloth of each colour is required for the umbrella?
19. A floral design on a floor is made up of 16tiles which are triangular the sides of the triangle beign 9cm, 28cm and 35cm. Find the cost of polishing the tiles at the rate of 50 paise per sq cm.

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