Question

ABC is a right triangle at B, where AB = 40.3cm and BC = 39.6cm. Find the length of side AC. SHOW YOUR WORK.

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Answer 1

Explanation:

Side AB = 40.3 cm

Side BC = 39.6 cm

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b):

[ c^2 = a ^2 + b^2 ]

AC =( AB^2 + BC^2 )

AC= ( 40.3^2 + 39.6^2 )

AC= (1624.09+ 1568.16)

AC=3192.25

convert to cm

Therefore, the length of side AC is approximately 56.5 cm.

I hope this helps you, buddy.