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, PR > PQ and PS bisects ∠QPR. Prove that ∠PSR >∠PSQ.

In a huge park people are concentrated at three points (see the given figure):

A: where there are different slides and swings for children,
B: near which a man-made lake is situated,
C: which is near to a large parking and exit.
Where should an ice-cream parlour be set up so that maximum number of persons can approach it?
(Hint: The parlor should be equidistant from A, B and C)
Complete the hexagonal and star shaped rangolies (see the given figures) by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles?

How had the position of women improved in our country since independence ? Explain with examples.
Arrange the sides of the following triangles in an ascending order:
ΔDEF, ∠D = 38°, ∠E = 58°.
In ΔABC, the exterior ∠PBC > exterior ∠QCB. Prove that AB > AC.
D is a point on the side of the BC of ΔABC. Prove that the perimeter of ΔABC is greater than twice of AD.
In ΔPQR is a triangle and S is any point in its interior. Prove that SQ + SR < PQ + PR.
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.
