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Find the length of the hypotenuse in triangles with sides 63m and 2752cm, hypotenuse in metres

2 Answers

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The Pythagorean Theorem states that a² + b² = c².

Additionally, the conversion rate of centimetres to meters is 1 meter : 100 centimeters.

Since we're finding the hypotenuse in metres, the first step is to make sure all of our measurements are in the same unit. Following the conversion rate, we'll convert the measurement of 2752 cm into metres.

2752/100 = 27.52m

Now that we know both side lengths, we can use the Pythagorean Theorem to solve for the hypotenuse.

First, we'll substitute in our values for the formula.

(63)² + (27.52)² = c²

Next, we'll square the two values we know.

(3969) + (757.3504) = c²

From there, we'll add the values we know together.

4726.3504 = c²

And finally, we'll find the square root of our current value to find the length of the hypotenuse.

68.7484574372 = c

Rounding our value, we're left with 68.75.

Therefore, the hypotenuse is equal to 68.75m.

Hope this helped! :)

User Maltrap
by
7.6k points
6 votes
c² = a² + b²
c² = (63)² + (2752)²
c² = 3969 + 7573504
c² = 7577473
c = 2752.72101747
User Helbreder
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7.8k points