Respuesta :
The length of AC is 14.42 in the triangle ΔABC where AB=17cm, BC=9cm and angle ∠ACB=90°. This can be obtained by using Pythagoras' theorem.
What is Pythagoras' theorem?
- Pythagoras' theorem states that the sum of squares of the legs of a right triangle is equal to the square of the hypotenuse, that is,
- ⇒ a² + b² = c²
Calculate the side AC of ΔABC:
Given that, AB=17cm, BC=9cm and angle ∠ACB=90°.
By using Pythagoras' theorem,
AB² = AC²+BC²
17² = AC²+9²
AC² = 17²-9² =289-81 = 208
AC = √208 =14.42
⇒AC = 14.42cm
Hence the length of AC is 14.42 in the triangle ΔABC where AB=17cm, BC=9cm and angle ∠ACB=90°.
Learn more about right angled triangles here:
brainly.com/question/5825150
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