Tag: math & puzzles

In a triangle XYZ, a line 'PQ' is drawn parallel to YZ, cutting XY at P and XZ at Q. The ratio of XP:XY is 2:3. What is the ratio XQ:QZ?

If a line divides two sides of a triangle in proportion, then it is parallel to the third side.

The Midpoint Theorem states: "A line joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half the length of the third side." So, riddle me this: What is the converse of the Midpoint Theorem is it" "If a line is parallel to one side of a triangle and is equal to half the length of the same side, the given line passes through the midpoints of the other two sides." "

You have been given two similar triangles, MNO and DEF. You have to find out the ratios of their areas. Which of the following formulae can be used to find out the ratio of the areas of the given triangles.

All equilateral triangles are similar.

A given triangle ABC is isosceles. Angle B and angle C are the base angles. From B, a perpendicular 'BD' is drawn to cut AC at point D. From C, a perpendicular 'CE' is drawn to cut AB at point E. State which of the following pairs of triangles are similar.

ABC and PQR are two triangles. If the ratios of all the corresponding sides of the triangles are equal, then ABC ~ PQR.

HCF of two numbers is 2 and LCM of those two numbers is 24.if one number is 6, Other number is?

Identify the movie by the song “Ho Jata hai kaise pyar na jaane koi”

identify the Perfect Number from the following