eVidyarthi

MCQ Triangles

SET 1

1. In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :

Question 1 of 20

2. The point of intersection of the altitudes of a triangle is called its:

Question 2 of 20

3. If the circumradius of an equilateral triangle be 10 cm, then the measure of its in-radius is

Question 3 of 20

4. I is the incentre of ΔABC, ∠ABC = 60° and ∠ACB = 50°, Then ∠BIC is

Question 4 of 20

5. The orthocentre of a right angled triangle lies

Question 5 of 20

6. If ΔABC is an isosceles triangle with ∠C = 90° and AC = 5 cm then AB is:

Question 6 of 20

7. Let O be the in-centre of a triangle ABC and D be a point on the side BC of ΔABC, such that OD ⊥ BC. If ∠BOD = 15°, then ∠ABC = ?

Question 7 of 20

8. If the circumcentre of a triangle lies outside it, then the triangle is

Question 8 of 20

9. ABC is an isosceles triangle such that AB = AC and ∠B = 35°, AD is the median to the base BC. Then ∠BAD is

Question 9 of 20

10. Taking any three of the line segments out of segments of length 2 cm, 3 cm, 5 cm and 6 cm, the number of triangles that can be formed is:

Question 10 of 20

11. In a triangle, if three altitudes are equal, then the triangle is

Question 11 of 20

12. In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is

Question 12 of 20

13. If the length of the sides of a triangle are in the ratio 4 : 5 : 6 and the inradius of the triangle is 3 cm, then the altitude of the triangle corresponding to the largest side as base is :

Question 13 of 20

14. In a right-angle ΔABC, ∠ABC = 90°, AB = 5 cm and BC = 12 cm. The radius of the circumcircle of the triangle ABC is

Question 14 of 20

15. If ABC is an equilateral triangle and D is a point of BC such that AD ⊥ BC, then

Question 15 of 20

16. AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm) is

Question 16 of 20

17. The equidistant point from the vertices of a triangle is called its:

Question 17 of 20

18. Let ABC be an equilateral triangle and AX, BY, CZ be the altitudes. Then the right statement out of the four given responses is

Question 18 of 20

19. The sum of three altitudes of a triangle is

Question 19 of 20

20. In ΔABC, ∠B = 60° and ∠C = 40°. If AD and AE be respectively the internal bisector of ∠A and perpendicular on BC, then the measure of ∠DAE is

Question 20 of 20


 

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