All the following are criteria for measuring the congruency of triangles except the _____.
Q. In a ΔABC, AB=10cm, BC=12cm, andAC=14cm. Find the length of median AD. If G is the centroid, find length of GA :
- 4√7, 83√7
- 10√3, 83√7
- 53√7, 59√7
- 5√7, 4√7
Q. In the triangle ABC, BC = CD and (∠ABC−∠BAC)=30∘. The measure of ∠ABD is :
- Can′t be determined
Q. Find the length of AC in right angled triangle ABC which has a circle inscribed in it, that touches the sides AB, BC and CA at D, E and F respectively, and has AD = 6 cm and BE = 5 cm.
- 41 cm
- 55 cm
- 44 cm
- 61 cm
Q. ABC is a triangle in which ∠CAB=80∘ and ∠ABC=50∘. AE, BF and CD are the altitudes and O (intersection point of AE, BF, and CD) is the orthocentre. What is the value of ∠AOB?
Q. From a point O in the interior of a ΔABC. Perpendiculars OD, OE and OF are drawn to the sides BC, CA and AB respectively, then which one of the following is true?
Q. In the adjoining figure, if AB, SC and TD are perpendicular to BD with the length indicated, then xy is equal to:
Q. In the figure, AD = 12 cm, AB = 20 cm and AE = 10 cm. Find EC:
- 14 cm
- 8 cm
- 15 cm
- 10 cm
Q. In the given figure, AD is the external bisector of ∠EAC, intersects BC produced to D. If AB = 12 cm, AC = 8 cm and BC = 4 cm, find CD.
- 10 cm
- 6 cm
- 8 cm
- 9 cm
Q. In the triangle ABC, MN is parallel to AB. Area of trapezium ABNM is twice the area of triangle CMN. What is ratio of CM : AM ?
- None of these