Consider the following statements: I. The areas of two similar triangles are in the ratio of the squares of the corresponding medians. II. The areas of two similar triangles are in the ratio of the squares of the corresponding heights. Which of the statements given above is/are correct?
Both I and II
For two similar triangles, the ratio of their areas equals the square of the ratio of any pair of corresponding linear elements — sides, medians, altitudes (heights), angle bisectors, or circumradii. Hence both Statement I and Statement II are correct.
What is the area of quadrilateral ABCD?
AD is the median of the triangle ABC. If P is any point on AD, then which one of the following is correct?
In a triangle ABC, if 2 ∠A = 3 ∠B = 6 ∠C, then what is ∠A + ∠C equal to?
In a triangle, values of all the angles are integers (in degree measure). Which one of the following cannot be the proportion of their measures?
ABC is an equilateral triangle. The side BC is trisected at D such that BC = 3 BD. What is the ratio of AD 2to AB 2?
ABC is a triangle right angled at A and AD is perpendicular to BC, If BD = 8 cm and DC = 12.5 cm, then what is AD equal to?
If ABC is a right-angled triangle with AC as its hypotenuse, then which one of the following is correct?
In the figure given below, ABC is a triangle with AB perpendicular to BC. Further BD is perpendicular to AC. If AD = 9 cm and DC = 4 cm, then what is the length of BD?

ABC is a triangle right angled at B. If AB = 5 cm and BC = 10 cm, then what is the length of the perpendicular drawn from the vertex B to the hypotenuse?
Which one of the following is correct in respect of a right-angled triangle?
G is the centroid of the equilateral triangle ABC. If AB = 8√ 3 cm, then the length of AG is equal to:
If sides of a triangle are 12 cm, 15 cm and 21 cm, then what is the inradius (in cm) of the triangle?
What is the area of quadrilateral ABCD?
It is given that ΔABC ~ ΔXYZ and Area ΔABC : Area ΔXYZ = 81 : 25. If AB = 18 cm, BC = 10 cm, CA = 15 cm, then what is the side XZ (in cm)?
Sides of two similar triangles are in the ratio 4 ∶ 9. Area of these triangles are in the ratio: