Advertisements
Advertisements
Question
Name the greatest and the smallest sides in the following triangles:
ΔABC, ∠ = 56°, ∠B = 64° and ∠C = 60°.
Advertisements
Solution
In the given ΔABC the greatest angle is ∠B and
the opposite side to the ∠B is AC.
Hence, the greatest side is AC.
The smallest angle in the ΔABC is ∠A and the
opposite side to the ∠A is BC.
Hence, the smallest side is BC.
APPEARS IN
RELATED QUESTIONS
In the given figure sides AB and AC of ΔABC are extended to points P and Q respectively. Also, ∠PBC < ∠QCB. Show that AC > AB.

AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see the given figure). Show that ∠A > ∠C and ∠B > ∠D.

Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
In a triangle PQR; QR = PR and ∠P = 36o. Which is the largest side of the triangle?
If two sides of a triangle are 8 cm and 13 cm, then the length of the third side is between a cm and b cm. Find the values of a and b such that a is less than b.
ABCD is a quadrilateral in which the diagonals AC and BD intersect at O. Prove that AB + BC + CD + AD < 2(AC + BC).
In ΔPQR, PR > PQ and T is a point on PR such that PT = PQ. Prove that QR > TR.
In the given figure, T is a point on the side PR of an equilateral triangle PQR. Show that RT < QT
Prove that in an isosceles triangle any of its equal sides is greater than the straight line joining the vertex to any point on the base of the triangle.
ΔABC in a isosceles triangle with AB = AC. D is a point on BC produced. ED intersects AB at E and AC at F. Prove that AF > AE.
