Ratio of Area of Two Triangles Having Same Height

Q. The ratio of area of the triangles ABD and ADC, where AD is the height is:

1. $\frac{3}{4}$
2. $\frac{2}{3}$
3. $\frac{5}{2}$
4. $\frac{5}{3}$

Q.

In triangle ABC, D and E are the points on sides AB and AC respectively. If AB = 18 cm, AD = 8 cm, AE = 12 cm and EC = 15 cm, then which of the following conditions is/are true?

1. AE = AD

2. $DE\parallel BC$

3. $\angle ADE=\angle ACB$

4. DE = BD

Q. What is the value of x in the figure if BD < DC?

1. 4

Q. In this triangle $A{D}^2=BD\times CD$

1. True
2. False

Q. All right-angled isosceles triangles are similar.

1. True
2. False

Q. A line drawn parallel to one side of a triangle divides the other two sides in ___ .

1. the same ratio
2. the ratio 1:2
3. different ratios
4. the ratio 1:3

Q.

In triangle ABC, D and E are the points on sides AB and AC respectively. If AB = 18 cm, AD = 8 cm, AE = 12 cm and EC = 15 cm, then which of the following conditions is/are true?

1. $DE\parallel BC$

2. AE = AD

3. $\angle ADE=\angle ACB$

4. DE = BD