Question
Statement:Â Only Dog are cat. No cat is
lion. Only tiger are lion. Conclusion: I. No lion is dog. II. No tiger is cat. III. Some dog can be tiger. In each of the questions below are given some statements followed by some conclusions. You have to take the given statements to be true even, if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known factsSolution
- The sides of two similar triangles are in the ratio 5:7. The areas of these triangles are in the ratio:
The vertices of a triangle are given as (5, 4), (9, 6), and (1, 5). Determine the area enclosed by this triangle.
The area of two similar triangles is 361 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
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 ABC, AB = 8 cm, AC = 6 cm and BC = 10 cm. The bisector of angle A meets side BC at point D. What is the length of BD (in cm)?
The altitude of an equilateral triangle is 6√3 cm. Find the area of the equilateral triangle.
What is the length of the hypotenuse in an isosceles right-angled triangle if one of its equal sides measures 5√3 cm?
The area of an isosceles triangle ABC is 8√5 cm 2 . If AB = BC and AC = 8 cm, then find the perimeter of triangle ABC.
What is the height of an equilateral triangle with a side length of 14√7 cm?
In â–³ ABC, D and E are the points on sides AB and AC. respectively and DE | BC. BC = 8 cm and DE = 5 cm. If the area of â–³ ADE = 45 cm², then wha...
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