A triangle has sides with lengths of 26 inches, 73 inches, and 76 inches. Is it a right triangle?

Mathematics

1 answer:

STatiana [176]3 years ago

3 0

Answer:

No, it is not a right triangle.

Step-by-step explanation:

We know that there are 2 legs and 1 hypotenuse. The hypotenuse is 76 because it is the largest number. And the two legs are 73 and 26. Now to find if it is a right triangle we will take 73 and multiply it by itself, which is 5,329. Now we will do the same with 26 and we get 676. Then we add 676 to 5,329 and we get 6,005. Because we are trying to find the hypotenuse, we have to find what number when squared makes 6,005. Since 76 x 76 = 5,776 it is not a right triangle.

Here is an image of the triangle:

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7. Three vertices of a parallelogram are (0, 0), (−4,0) and (0, 5). Find all 3 possible coordinates for

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The given vertices combine with the fourth vertex as follows;

a) Coordinates; (-4, 5)

Lengths of the sides; 4 and 5

b) Coordinates; (4, 5)

Lengths of the sides; 4 and √41

c) Coordinates; (-4, -5)

Lengths of the sides; 5 and √41

<h3>How can the vertex coordinates be found?</h3>

The given vertices are;

(0, 0): The origin

(-4, 0): 4 units to the left of the origin along the abscissa

(0, 5): 5 units above the origin, along the ordinate

a) The point that forms a rectangle is above the point (-4, 0) and to the left of the point (0, 5), which gives;

The coordinates of the point that forms a rectangle is the point (-4, 5)

The lengths of the sides are;

0 - (-4) = 4

5 - 0 = 5

b) The first parallelogram is formed by moving an equal distance of the point (-4, 0) from the origin from the point (0, 5), which gives;

The first parallelogram is formed by the point (4, 5)

The lengths of the sides are;

4 - 0 = 4
√((5 - 0)^2 + (4 - 0)^2) = √41

c) The second parallelogram is formed by the moving an equal distance of the point (0, 5) from the origin from the point (-4, 0), which gives;