Mathematics
In △ABC, AB = 7.5 cm, BC = 6.2 cm and AC = 5.4 cm. Name :
(i) the least angle
(ii) the greatest angle of the triangle
Answer
(i) In △ABC,
We know that,
The smallest side of a triangle has the smallest angle opposite to it.
Since, AC is the shortest side.
∴ ∠B is the least angle.
Hence, ∠B is the least angle.
(ii) In △ABC,
We know that,
The largest side of a triangle has the largest angle opposite to it.
Since, AB is the largest side.
∴ ∠C is the greatest angle.
Hence, ∠C is the greatest angle.
Related Questions
In the given figure, AD = AB and AE bisects ∠A. Prove that:
(i) BE = ED
(ii) ∠ABD > ∠BCA
The sides AB and AC of △ABC are produced to D and E respectively and the bisectors of ∠CBD and ∠BCE meet at O. If AB > AC, prove that OC > OB.
In the given figure, AD bisects ∠A. If ∠B = 60°, ∠C = 40°, then arrange AB, BD and DC in ascending order of their lengths.
In the given figure, ∠ABC = 66°, ∠DAC = 38°. CE is perpendicular to AB and AD is perpendicular to BC. Prove that: CP > AP.
