Advertisements
Advertisements
Question
Name the greatest and the smallest sides in the following triangles:
ΔDEF, ∠D = 32°, ∠E = 56° and ∠F = 92°.
Advertisements
Solution
In the given ΔDEF the greatest angle is ∠F and
the opposite side to the ∠F is DE
Hence, the greatest side is DE.
The smallest angle in the ΔDEF is D and the opposite
side to the ∠D is EF.
Hence, the smallest side is EF.
RELATED QUESTIONS
In the given figure, ∠B < ∠A and ∠C < ∠D. Show that AD < BC.

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)
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.
Arrange the sides of ∆BOC in descending order of their lengths. BO and CO are bisectors of angles ABC and ACB respectively.

"Issues of caste discrimination began to be written about in many printed tracts and essays in India in the late nineteenth century." Support the statement with two suitable examples.
In a triangle ABC, BC = AC and ∠ A = 35°. Which is the smallest side of the triangle?
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.
For any quadrilateral, prove that its perimeter is greater than the sum of its diagonals.
In ΔPQR, PS ⊥ QR ; prove that: PQ > QS and PR > PS
