The question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.
Assertion (A) | Reason (R) |
It is always possible to draw a triangle whose sides measure 4 cm, 5cmand 10cm respectively. | In an isosceles ∆ABC with AB=AC, if BD and CE are bisectors of ∠B and ∠C respectively, then BD=CE. |
In ΔBDC and ΔCEB,
∠DCB = ∠EBC (Given)
BC = CB (Common)
∠B = ∠C (AC = AB)
∠CEB = ∠BCE
∴ ΔBDC ≅ ΔCEB
BD = CE (By c.p.c.t.)
And, we know that the sum of two sides is always greater than the third side in any triangle.
But, (5 + 4) < 10
Hence, the reason is true, but the assertion is false.
∴ Option D is true