Question
Statement :No cup is a medal. All medals are
trophies. No trophy is a shield. Some shield are prizes. Conclusion: I. Some medals are shields. II. Some medals are not shields. III. Some trophies being cups is a possibility. IV. All trophies may be prizes. In each of the questions below are given three statements followed by three conclusions numbered I, II and III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of given conclusions logically follows from the given statements disregarding commonly known facts.Solution
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Find the length of AC, if ΔABC ~ ΔRQP and AB = 10 cm, RQ = 8 cm and RP = 12 cm.
The corresponding medians of two similar triangles are 16 cm and 20 cm. If the area of the first triangle is 288 cm, then find the area of the second tr...
In a right triangle, if the altitude drawn to the hypotenuse divides the triangle into two triangles of equal area, what is the value of the smallest an...
In triangle ABC, the difference between angle A and angle B is 16°, and the difference between angle A and angle C is 8°. Determine the measure of an...
The smallest side of a right-angled triangle is 7 cm less than the side of a square of perimeter 76 cm. The second largest side of the right-angled tria...
What is the height of an equilateral triangle if each of its sides is 4√3 cm?
A triangle has sides 13 cm, 14 cm, and 15 cm. Find the area of the triangle.
An equilateral triangle has all sides of length 14√3 cm. What is the altitude of this triangle?
- If the perpendicular from a vertex of an equilateral triangle to the opposite side is 15√3 cm, find its inradius.
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