Question

The points (0,3),(−2, ) and (−1,4) are the vertices of a right-angled triangle at , find the value of .​

Answer 1

Question:-

The points (0,3),(−2, ) and (−1,4) are the vertices of a right-angled triangle at , find the value of .

Answer:-

Given the vertices of a △ ABC are right - angled at A.

∴ AB2 + AC2 = BC2

AB2 = (-2-0)2 + (a-3)2 = 4 + (a-3)2

BC2 = (-1+2)2 + (4-a)2 = 1+(4-a)2

AC2 = (-1-0)2 + (4-3)2 = 1+1=2

Since AB2 + AC2 = BC2

4 + (a-3)2 + 2 = 1 + (4-a)2

4 + a2 + 9 - 6a + 2 = 1 + 16 + a2 - 8a

2a = 2

∴ a = 1.

Answer 2

Step-by-step explanation:

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