Question
A man complete a journey in 15 hours. He travels first
half of the journey at the rate of 6 km/hr and second half at the rate of 4 km/hr. Find the total journey in km?Solution
(x/2)/ 6 + (x/2) / 4 = 15 (2x + 3x) / 24 = 15 5x = 15 x 24 X = 72 km
- 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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