Question

What is the length of AB¯¯¯¯¯?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Answer 1

If BC is your shortest like, that would make it line A of the pythagorean theorem. AC is line B, and that would make line AB the hypotenuse, or line C.
So....
a^2+b^2=c^2
12^2+18^2=c^2
12*12=144
18*18=324
324+144=c^2
468=c^2
Because it is squared, you can divide by 2 and get your answer to line AB.

Answer 2

Answer: The length of AB is 19.636 cm (approx).

Explanation:

Here, ABC is a triangle,

In which AC = 18 cm, BC = 12 cm and ∠C = 79°,

By the cosine law,

`AB^2=AC^2+BC^2-2(AB)(BC) cosC`

`\implies AB^2 = 18^2 + 12^2 - 2* 18* 12 cos 79^(\circ)`

`\implies AB^2 = 324 + 144 - 82.4294860027`

`\implies AB^2 = 385.570513997`

`\implies AB = 19.6359495313\approx 19.636\text{ cm}`

Thus, the length of AB is 19.636 cm (approx).