Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. Given = 6"

1 answer:

6 0

From this detail that is a right isosceles triangle result that the angles from the base has measure of 45 degrees
- there is given again that the length of legs is 6"
- than we drawn the height from the right angle on hypotenuse and use sin45 we get
but we need to know that 6" = 6*2,6 = 15,6 cm = 0,156 m
cos 45° = (half of hypotenuse)/6"

sqrt2 /2 = (half of hyp) /6"

half of hyp. = 6"sqrt2 /2 = 3sqrt2" so than the length of hypotenuse will be

equal 2*3sqrt2 = (6sqrt2)"

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A puzzle piece in the shape of a triangle has perimeter 25 centimeters. Two sides of the triangle are each twice as long as the

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Answer: the shortest side is 10 centimeters.

The length of each of the other sides is 10 centimeters each.

Step-by-step explanation:

Let x represent the length of the shortest side of the triangle.

Two sides of the triangle are each twice as long as the shortest side. This means that the length of the two sides would be 2x.

The perimeter of a triangle is the sum of each side of the triangle.

The puzzle piece in the shape of a triangle has perimeter 25 centimeters. This means that

x + 2x + 2x = 25

5x = 25