Can you make a obtuse triangle into a rectangle

1 answer:

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Well,

If you can do anything to an obtuse triangle, you could add a side and make all the angles right angles.

If all you can do is alter the angles, you will not be able to do that because you will still have a triangle with three sides.

If all you can do is alter the number of sides, you will still not be able to do that because you will have some type of quadrilateral, not a rectangle.

In essence, you must be able to both change the angles and the number of sides in order to make any triangle a rectangle.

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To create a giant gemstone, sara first made two identical square pyramids that each had a base area of 100 square inches. Then s

inysia [295]

Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.

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