Question

In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. I fYou could find the or.

Answer 1

It’s c I think

Explanation:

Answer 2

AB=53 inches

BC=50 inches

Using the Pythagorean theorem for the right-angled triangles,

`AC^(2) = AN^(2) +NC^(2) \\40^(2) = 24^(2) + NC^(2)\\1600 = 576 + NC^(2)\\NC = 32`

Now, we know NC=32, and since BN=18, we can find BC:

`BC = BN + NC\\BC = 50`

let's find AB using a similar approach:

`AB^(2) = BN^(2) +BC^(2) \\AB^(2) = 18^(2) + 50^(2)\\AB = 53`