MEDIUM
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Check whether the following triangles are similar or not. If so, name the criterion of similarity.

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Important Questions on Triangles

EASY
Mathematics>Geometry>Triangles>Similar Figures
In a triangle, if the measures of two sides are 5 cm and 8 cm, then the third side can be:
MEDIUM
Mathematics>Geometry>Triangles>Similar Figures
In a △ABC, D and E are points on the sides AC and BC, respectively such that DE∥AB. F is the point on CE such that DF∥AE. If CE=6 cm, and CF=2.5 cm, then BC is equal to:
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MEDIUM
Mathematics>Geometry>Triangles>Similar Figures
In the given figure, if AB=8 cm, AC=10 cm, ∠ABD=90° and AD=17 cm, then the measure of CD is: 
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EASY
Mathematics>Geometry>Triangles>Similar Figures
In △ABC, if the ratio of angles is in the proportion 3:5:4, then the difference between the biggest and the smallest angles (in degrees) is:
EASY
Mathematics>Geometry>Triangles>Similar Figures

The angles of a triangle are in the ratio of 1 : 2 : 3. What is the measure of the smallest angle (in degrees)?

MEDIUM
Mathematics>Geometry>Triangles>Similar Figures
In a triangle ABC, DE is parallel to BC; AD=a, DB=a+4, AE=2a+3, EC=7a. What is the value of 'a' if a>0?
EASY
Mathematics>Geometry>Triangles>Similar Figures
If angles of a triangle are in the ratio of 2:3:4, then the measure of the smallest angle is:
MEDIUM
Mathematics>Geometry>Triangles>Similar Figures
Let ∆ABC~∆RPQ and ar∆ABCar∆PQR=49. If AB=3 cm, BC=4 cm and AC=5 cm, then RP (in cm) is equal to:
EASY
Mathematics>Geometry>Triangles>Similar Figures
In the triangle ABC, ∠BAC=50° and the bisectors of ∠ABC  and ∠ACB meets at P. What is the value (in degrees) of ∠BPC?
EASY
Mathematics>Geometry>Triangles>Similar Figures
In △PQR, ∠R=54°, the perpendicular bisector of PQ at S meets QR at T. If ∠TPR=46°, then what is the value(in degrees) of ∠PQR?
EASY
Mathematics>Geometry>Triangles>Similar Figures
Arrange the angles of the triangle from smallest to largest in the triangle, where the sides are AB=7 cm, AC=8 cmand AC=9cm.
EASY
Mathematics>Geometry>Triangles>Similar Figures
What is the measure of an exterior angle of a regular polygon of 6 sides?
EASY
Mathematics>Geometry>Triangles>Similar Figures
In △ABC, D is a point on BC such that AD is the bisector of ∠A, AB=11.7 cm, AC=7.8 cm and BC=13 cm. What is the length of DC (in cm)?
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EASY
Mathematics>Geometry>Triangles>Similar Figures

In the given figure, the measure of ∠BAC is:

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EASY
Mathematics>Geometry>Triangles>Similar Figures
In △ABC, ∠A=54°. If I is the incentre of the triangle, then the measure of ∠BIC is _____.
MEDIUM
Mathematics>Geometry>Triangles>Similar Figures
S is the incentre of ∆PQR. If ∠PSR=125°, then the measure of ∠PQR is:
MEDIUM
Mathematics>Geometry>Triangles>Similar Figures
In ∆ABD, C is the midpoint of BD. If AB=10 cm, AD=12 cm and AC=9 cm then BD=?
EASY
Mathematics>Geometry>Triangles>Similar Figures
The perimeters of two similar triangles ABC and PQR are 78 cm and 46.8 cm respectively. If PQ =11.7, then the length of AB is:
EASY
Mathematics>Geometry>Triangles>Similar Figures

The measures of the sides of a triangle are 7, 8 and 9 cm. Find the length of the largest side of a similar triangle whose shortest side is 35 cm. 

(A) 55 cm 

(B) 40 cm 

(C) 45 cm 

(D) 50 cm 

MEDIUM
Mathematics>Geometry>Triangles>Similar Figures
In ∆ABD, C is the midpoint of BD. If AB =10 cm, AD =12 cm and AC=9 cm, then BD=?