Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
The sum of any two sides of the triangle is always greater than third side of the triangle.
Third side < 13 + 8 = 21 cm.
The difference between any two sides of the triangle is always less than the third side of the triangle.
Third side > 13 - 8 = 5 cm.
Therefore, the length of the third side is between 5 cm and 21 cm, respectively.
The value of a = 5 cm and b = 21cm.
APPEARS IN
संबंधित प्रश्न
Show that in a right angled triangle, the hypotenuse is the longest side.
In the given figure, PR > PQ and PS bisects ∠QPR. Prove that ∠PSR >∠PSQ.

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

D is a point in side BC of triangle ABC. If AD > AC, show that AB > AC.
“Caste inequalities are still prevalent in India.” Examine the statement.
"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.
Name the greatest and the smallest sides in the following triangles:
ΔDEF, ∠D = 32°, ∠E = 56° and ∠F = 92°.
For any quadrilateral, prove that its perimeter is greater than the sum of its diagonals.
ABCD is a trapezium. Prove that:
CD + DA + AB + BC > 2AC.
In ΔPQR, PS ⊥ QR ; prove that: PQ > QS and PQ > PS
