Question
A and B together start a business with investment of Rs.
1800 and Rs. (x + 800), respectively. If the profit earned after 5 years is Rs. 5000 and share of A is Rs. 2000, then find the value of x.Solution
Ratio of share of profit of A : B = 1800: (x + 800) So, {1800/(x + 2600)} × 5000 = 2000 => 4500 = x + 2600 => x = 1900
- Find the vertical height from a vertex to the base of an equilateral triangle with a side measuring 12√3 cm.
If the ratio of the area of two similar triangles is √3:√2 then what is the ratio of the corresponding sides of the two triangles?
What is the height of an equilateral triangle if each side measures 8√3 cm?
If two triangles XYZ and ABC are congruent, then which of the following statement(s) is/are true?
I. XY = AB
II. ∠X = ∠A
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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.
- The base of a triangle is 14.8 cm, and the corresponding altitude is 20.2 cm. What is its area?
The area of a triangle is 216 cm² and the ratio of its sides is 9: 12: 15. What is the perimeter of the triangle?
- In triangle MNO, PQ is drawn parallel to side NO. If MP = 5 cm, PN = 10 cm and MQ = 6 cm, find MO.
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