In triangle ABC, with right angle B, side AB is 18 units long and side AC is 23 units long. What is the length of side BC,

Mathematics

1 answer:

mihalych1998 [28]2 years ago

6 0

Answer:

BC ≈ 14 units

Step-by-step 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 + AB² = AC²

BC² + 18² = 23²

BC² + 324 = 529 ( subtract 324 from both sides )

BC² = 205 ( take square root of both sides )

BC = $\sqrt{205}$ = 14.317.. ≈ 14 units ( to the nearest unit )

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