Find the total number of the triangles whose all the sides are integer and longest side is of 10 in length. If
the similar clause is applied for the isosceles triangle then what will be the total number of triangles?
In a given pentagon ABCDE, triangles ABC, BCD, CDE, DEA and EAB all have the same area. The
lines AC and AD intersect BE at points M and N. Prove that BM = EN.
A hall-room 39 m 10 cm long and 35 m 70 cm broad is to be covered with equal square tiles. Find the largest tile so that the tiles exactly fit and also find no. of tiles required.
A golfer hits her ball a distance of 127 m so that it finishes 31 m from the hole. If the length of the hole is 150 m, calculate the angle between the line of her shot and the direct line to the hole.
In triangle ABC, point L and M divides the side AB and BC in the ratio 2:3 respectively.
AM and LC intersect at point P. From point P a line parallel to BA is drawn intersecting
AC at D. Find the ratio AD: DC
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