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Bess [88]
4 years ago
12

Two sides of a right triangle have lengths of 2 centimeters and 7 centimeters. The third side is NOT the hypotenuse. How long is

the third side?
Mathematics
1 answer:
Alla [95]4 years ago
8 0
Use the Pythagorean Theorem: a² + b² = c².
a and b are the leg lengths and c is the hypotenuse.

The hypotenuse is the longest side of the three, so you know the hypotenuse is 7 cm.

We'll make 2 cm = a, and the third side = b.
Plug these into the formula.

2² + b² = 7²
4 + b² = 49
b² = 45
Square root b and 45 to find the length of the third side.

√b = √45
b = 6.71

The third side is 6.71 centimeters.
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Step-by-step explanation:

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We already know the length of two of the sides, a and b. So we will replace those variables with the given values

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Step-by-step explanation:

Step 1:

To calculate the area of the given room, we divide the unknown shape into known shapes.

The room's shape is made of 2 rectangles.

The area of a rectangle is the product of its length and its width.

One rectangle has a length of 10 feet and a width of 12\frac{1}{2} feet.

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Step 2:

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The total area of the room = 125+22.5 = 147.5 = 147 \frac{1}{2} square feet.

The area of the room is 147\frac{1}{2} square feet so Michelle's reasoning was incorrect.

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