Question
The respective ages of a mother and her daughter are 45
and 9 years. In how many years will the mother be thrice as old as her daughter?Solution
Mother’s age = 45 years Daughter’s age = 9 years Let after ‘t’ years, mother’s age is thrice of her daughter. => 45 + t = 3(9 + t) => 45 + t = 27 + 3t => 2t = 18 => t = 9 yrs
- 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
- In triangle XYZ, UV is drawn parallel to side YZ. If XU = 10 cm, UX = 6 cm, and XV = 15 cm, find XZ.
Calculate the hypotenuse of an isosceles right-angled triangle where the equal sides are 8√6 cm each.
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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