Question
The ratio of two numbers A and B is 9:19 and C is 60% of
the average of the numbers A and B. If the sum of A, B and C is 182, then what is the value of A?Solution
Let the number A and B are 9y and 19y respectively.
C = 60% of (9y + 19y)/2 = 8.4y
Now,
Sum of A, B and C = 182
9y + 19y + 8.4y = 182
36.4y = 182
y = 5
Hence, the value of A = 9*5 = 45
- Find the vertical height from a vertex to the base of an equilateral triangle with a side measuring 12√3 cm.
In a right-angled triangle, the legs are in the ratio 3:4, and the hypotenuse is 25 cm. Find the perimeter of the triangle.
A right-angled triangle has an area of 120 m², and the ratio of its base to height is 5:3. The side length of an equilateral tri...
The base of a pyramid is an equilateral triangle whose side is 8 cm. Is. Its (slant edge) is 24 cm. What is the total surface area (in cm²) of the pyra...
What is the height of an equilateral triangle with a side length of 14√7 cm?
Find the ratio between the area of an equilateral triangle with side 6 cm and the area of a square with side 6 cm.
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...
The angles of a triangle are in the ratio 4:5:3. Determine the sum of the smallest and largest angles of the triangle.
If two triangles XYZ and ABC are congruent, then which of the following statement(s) is/are true?
I. XY = AB
II. ∠X = ∠A
In a triangle ABC, AD is the altitude from A to BC. If AD = 12 cm, AB = 13 cm, and AC = 14 cm, find the length of BC.