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,
1 answer:
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 = = 14.317.. ≈ 14 units ( to the nearest unit )
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Answer:
y ≈ 32.0°
Step-by-step explanation:
Since the triangle is right use the sine ratio to find y
sin y = =
, thus
y = (
) ≈ 32.0° ( nearest tenth )