Question:One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field.
Other side=√(17)2-((15))2 =√289-225 =√64=8m. :. Area=(15×8)sq.m=120sq.m.
Question:Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.
Let a = 13, b = 14 and C = 15. Then, s =12(a+b+c)=21 :. (s - a) = 8, (s - b) = 7 and (s - c) = 6 :. Area=√s(s-a)(s-b)(s-c) =√21×8×7×6 =84cm2
Question:Find the area of a square, one of whose diagonal is 3.8 m long.
Area of the square=12×(diagonal)2 =(12×3.8×3.8)m2=7.22m2
Question:Find the area of an equilateral triangle each of whose sides is 8 cm long.
Area of the triangle=√√34×8×8cm2 =16√3cm2
Question:Find the area of a right angle triangle whose base is 12 cm and hypotenuse 13 cm.
Height of the triangle=√(13)2-(12)2 =√25=5cm. :. Its area=12×Base×Height =(12×12×5)cm2 =30cm2