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Jasoncookies23
31.05.2020 •
Mathematics
In ΔABC, ∠B = 90°, AB = 9 cm and BC = 12 cm. Calculate the length of AC. and area of triangle ABC
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Ответ:
see explanation
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
AC² = AB² + BC² , substitute values
AC² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )
AC =
= 15 cm
-------------------------------------------
The area of Δ ABC is calculated as
A =
× BC × AB =
× 12 × 9 = 6 × 9 = 54 cm²
Ответ:
b
step-by-step explanation: