Which three pairs of side lengths are possible measurements for the triangle?

Answer:
AB = 6, BC = 6
AB = 4, AC = 4√2
BC = 2√2, AC = 4
Step-by-step explanation:
The sides of an isosceles right triangle are in the ratio 1:1:√2 where √2 is the hypotenuse.
So if, for example, BC = 2√2, then AC = 2√2 * √2 = 4.
The three pairs are (AB = 6, BC = 6) (AB = 4, AC = 4√2) and (BC = 2√2, AC = 4).
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
The sides of an isosceles right triangle are in the ratio 1:1:√2 where √2 is the hypotenuse.
for example, BC = 2√2, then AC = 2√2 x √2 = 4.
Similarly, the three pairs are (AB = 6, BC = 6) (AB = 4, AC = 4√2) and (BC = 2√2, AC = 4).
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