Question
In the question below there are two conclusions
followed by three statements in the options. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given statements is true disregarding the commonly known facts. Conclusions: I. Every Open can be Close. II. Some Up can be Down. Statements:Solution
Some Open is Up ((I) + Only a few Up is Close (I) → Probable conclusion → Every Open can be Close (A). Only a few Up is Close (I) + No Close is Down (E) → Some Up are not Down (O) → Probable conclusion → Some Up can be Down (A).
In triangle ABC, DE is drawn parallel to BC, meeting AB at D and AC at E. If AD : DB = 3 : 2 and the area of triangle ADE is 45 cm², find:
(a) t...
The areas of two similar triangles XYZ and LMN are 400 cm² and 100 cm² respectively. If side XY = 30 cm, find the corresponding side LM.
What is the inradius of an equilateral triangle whose vertical height measures 12√3 cm?
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In triangle ABC, vertices are A(2, 3), B(8, 5) and C(4, −1). Find the coordinates of the centroid and the length of the median from A.
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Find the altitude of an equilateral triangle whose side is 8√3 cm.
Given a right-angled triangle with the perpendicular measuring 36 cm and the base measuring 48 cm, determine the length of the shortest median of the tr...
The area of a triangle is 480 cm² and the ratio of its sides is 10: 24: 26. What is the perimeter of the triangle?