Relation between Sides of Triangle
Trending Questions
In a right angled triangle ABC in which ∠A = 90∘, If AD ⊥ BC.
AB2 = BD × AD.
AB2 = BC × DC.
AB2 = BC × BD.
AB2 = BD × DC.
Given △ DEF ∼ △ABC. If AB = 4 cm, BC = 2 cm, CA = 3 cm and EF = 4 cm, then the perimeter of △DEF is ____ cm.
18
15
16
14
- 2.5
- 0.67
- 0.5
ΔABC∼ΔPQR
Find the values of y and z.
- y=3√3
- y=4√3
- z=6
- z=4
△ABC is a right angled triangle, right angled at B. BD is perpendicular as shown. What is AC×DC?
BC.AB
BC2
BD2
AB.AC
In the figure, ABCD is a trapezium in which, AB || DC and AOOC=BOOD=12 and AB=5 cm. Find the value of CD .
10 cm
15 cm
18 cm
20 cm
In the figure, AOOC=BOOD=12 and AB=5 cm. Find the value of CD .
Figure 2.
18 cm
20 cm
10 cm
15 cm
(2 Marks)
A man of height y is standing between two buildings with heights x and z respectively as shown in the figure. Then, which of the following statements is true about the relation of the heights?
1x=1y+1z
x=y=z
1x=1y=1z
1x+1z=1y
- 6 cm, 12 cm, 18 cm
- 5 cm, 7 cm, 9 cm
- 4 cm, 6 cm, 12 cm
- 8 cm, 12 cm, 18 cm
- 16 cm
- 12 cm
- 8 cm
- 4 cm
Statement 1: In two triangles, if two corresponding angles are equal, it’s not required to check whether the ratio of their corresponding sides is equal or not to state that they are similar.
Statement 2: When two triangles are similar, the ratio of their corresponding sides is equal.
Statement 1 is true, statement 2 is true and statement 2 is not the correct explanation for statement 1.
Statement 1 and Statement 2 are false.
Statement 2 is true and Statement 1 is false.
Statement 1 is true, statement 2 is true and statement 2 is the correct explanation for statement 1.
- congruent
- similar
- not similar
△ABC is a right angled triangle, right angled at B. BD is perpendicular as shown. Then find the value of AC×DC.
ABC and DEF are similar triangles, identify the corresponding sides.
BC and DE
CA and ED
AB and DF
AC and DF
In the given figure, AD divides ∠BAC in the ratio 1:3. Find the value of X and ∠ADC (in degrees).
20∘, 115∘
115∘, 20∘
30∘, 125∘
20∘, 125∘