Advertisements
Advertisements
Question
The sides of a triangular field are 325 m, 300 m and 125 m. Its area is
Options
18750 m2
37500 m2
97500 m2
48750 m2
Advertisements
Solution
The area of a triangle having sides a, b, c and s as semi-perimeter is given by,
`A = sqrt(s(s-a)(s-b)(s-c))`, where
`s = (a+b+c)/2`
Therefore the area of a triangular field, say A having sides 325 m, 300 m and 125 m is given by
a = 325 m ; b = 300 m ; c = 125 m
`s = (a+b+c)/2`
`s = (325+300+125)/2`
`s =750/2`
s = 375 m
`A = sqrt(375(375-325)(375-300)(375-125))`
`A = sqrt(375(50)(75)(250)`
`A = sqrt(351562500)`
A = 18750 m2
APPEARS IN
RELATED QUESTIONS
A park, in the shape of a quadrilateral ABCD, has ∠C = 90°, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m. How much area does it occupy?
The sides of a quadrilateral, taken in order are 5, 12, 14 and 15 meters respectively, and the angle contained by the first two sides is a right angle. Find its are
Two parallel side of a trapezium are 60 cm and 77 cm and other sides are 25 cm and 26 cm. Find the area of the trapezium.
Find the area of a rhombus whose perimeter is 80 m and one of whose diagonal is 24 m.
Find the perimeter and area of the quadrilateral ABCD in which AB = 17 cm, AD =9 cm, CD = l2cm, ∠ACB = 90° and AC=l5cm.
The sides of a triangle are 11 m, 60 m and 61 m. The altitude to the smallest side is
The lengths of the sides of Δ ABC are consecutive integers. It Δ ABC has the same perimeter as an equilateral triangle with a side of length 9 cm, what is the length of the shortest side of ΔABC?
In the given figure, the ratio AD to DC is 3 to 2. If the area of Δ ABC is 40 cm2, what is the area of Δ BDC?
The area of an equilateral triangle with side `2sqrt(3)` cm is ______.
The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is ______.
