Answer:
BC ≈ 10.2 cm
Explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
BC² + AC² = AB²
BC² + 8² = 13²
BC² + 64 = 169 ( subtract 64 from both sides )
BC² = 105 ( take square root of both sides )
BC =
≈ 10.2 ( to the nearest tenth )