# Quantitative Aptitude :: Average - Discussion

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## The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:

A17 kg

B20 kg

C26 kg

D31 kg

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In mathematics, the Pythagoras theorem, also known as the Pythagoras

theorem, is a fundamental relation in Euclidean geometry between three

sides of a right triangle. This states that the area of the square

whose side is the hypotenuse is equal to the sum of the squares on the

other two sides.

<br><span style="padding-left:38px;"></span>In a

right-angled triangle, \(Hypotenuse^{2}\) = \(Base^{2}\) +

\(Height^{2}\).

<br><span style="padding-left:38px;"></span>\( \mathbb{iv.} \) The line joining the mid-point of a side of a triangle to the positive vertex is called the <b>median</b>.

<br><span style="padding-left:38px;"></span>\( \mathbb{v.} \) The point where the three medians of a triangle meet, is called <b>centroid</b>. The centroid divided each of the medians in the ratio 2 : 1.

<br><span style="padding-left:38px;"></span>\( \mathbb{vi.} \) In an isosceles triangle, the altitude from the vertex bisects the base.

<br><span style="padding-left:38px;"></span>\( \mathbb{vii.} \) The median of a triangle divides it into two triangles of the same area.

<br><span style="padding-left:38px;"></span>\( \mathbb{viii.} \) The area of the triangle formed by joining the mid-points of the sides of a given triangle is one-fourth of the area of the given triangle.

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