Question

Which property of geometry will be used to find the distance AC? *
0 points
a) Similarity of triangles
b) Angle Sum Property
c) Pythagoras Theorem
d) Triangle Inequality​

Answer 1

Answer:

To find AC, though, simply subtracting is not sufficient. Triangle ABC is a right triangle with AC the hypotenuse. Therefore, by the Pythagorean Theorem, If A is represented by the ordered pair ( x 1, y 1) and C is represented by the ordered pair ( x 2, y 2), then AB = ( x 2 − x 1) and BC = ( y 2 − y 1).

Step-by-step explanation:

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Answer 2

The property of geometry that will be used to find the distance AC is option c - "Pythagoras Theorem"

Buddhayan, an Indian Mathematician (600 B.C.) developed a relationship between the squares described on the hypotenuse of a right-angled triangle and the sum of the squares described on the remaining two sides of the triangle. But the credit of the present form of this relationship goes to a Greek Mathematician Pythagoras and is named as Pythagoras theorem.

The Pythagoras Theorem is stated as "In a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the remaining two sides."

To find the distance AC, the length of the hypotenuse is to be found out using Pythagoras Theorem. Then, 12 m is subtracted from the length of the hypotenuse.