Question
The average of 27 numbers is 20.The average of first 13
numbers is 15 and that of the last 13 numbers is 18. What will be the 27th number?Solution
Sum of 27 numbers = 27 × 20 = 540 Sum of first 13 numbers = 13 × 15 = 195 Sum of last 13 numbers = 13 × 18 = 234 Therefore, 27th number = 540 – (195 + 234) = 111
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.
Relevant for Exams:
