Question
There are three numbers such that when the average of
any of the two numbers is added with the third number, sum obtained will be 122.5, 120.5 and 121.5. Find the average of all three numbers.Solution
Let the three numbers be a, b and c respectively. According to question; (a + b + 2c) = 122.5 × 2 = 245……………..(1) (a + 2b + c) = 120.5 × 2 = 241……………..(2) (2a + b + c) = 121.5 × 2 = 243……………..(3) From equation (1), (2) and (3) 4 × (a + b + c) = 729 a + b + c = 182.25 (a + b + c)/3 = 60.75
Given a right-angled triangle with the perpendicular measuring 36 cm and the base measuring 48 cm, determine the length of the shortest median of the tr...
If perpendicular and base of a right-angle triangle is, 14 cm and 48 cm, respectively, then find the length of the shortest median of triangle.
- The sides of a triangle are in the ratio 7:24:25. If the area of the triangle is 336 cm², what is the perimeter of the triangle?
Find area of a trapezium with parallel sides 12 cm and 18 cm, height 10 cm.
- Find the area of a triangle whose base is 15.4 cm and corresponding altitude is 20.8 cm.
The angles of a triangle are in the ratio 4:5:3. Determine the sum of the smallest and largest angles of the triangle.
- Find the altitude of an equilateral triangle whose side is 8√3 cm.
In triangle ABC, DE is drawn parallel to BC, intersecting AB at D and AC at E. If AD : DB = 2 : 1 and area of triangle ADE is 24 cm², find:
(i) ...
The area of an equilateral triangle is 432√3 cm2 . If a square is drawn using the height of the triangle as one of the sides, then find the...
- Find the radius of the incircle of an equilateral triangle whose height is given to be 3√3 cm.
