Mathematics
It is not possible to construct a triangle when the lengths of its sides are
6 cm, 7 cm, 8 cm
4 cm, 6 cm, 6 cm
5.3 cm, 2.2 cm, 3.1 cm
9.3 cm, 5.2 cm, 7.4 cm
Answer
We know that in a triangle, the sum of any two sides of a triangle is greater than the third side.
But, when sides are 5.3 cm, 2.2 cm, 3.1 cm.
2.2 + 3.1 = 5.3 cm.
Here, sum of two sides is equal to third side.
Hence, construction of triangle with sides 5.3 cm, 2.2 cm, 3.1 cm is not possible.
Hence, Option 3 is the correct option.
Related Questions
If a, b, c are lengths of the sides of a triangle then,
a - b > c
c > a + b
c = a + b
c < a + b
In △PQR, if ∠R > ∠Q, then
QR > PR
PQ > PR
PQ < PR
QR < PR
Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle can not be
3.6 cm
4.1 cm
3.8 cm
3.4 cm
If triangle PQR is right angled at Q, then
PR = PQ
PR < PQ
PR < QR
PR > PQ