Can someone help me with this diagram problem?

Mathematics

1 answer:

mart [117]3 years ago

6 0

Answer: the diagonal is 10 units

Step-by-step explanation:

The rectangle has 2 parallel and equal sides. Each of the 4 angles in a rectangle is 90°. Therefore, the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.

To determine the length of the diagonal of the rectangle, d, , we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

d² = 5² + (5√3)²

d² = 25 + 25×3 = 100

d = √100

d = 10 units

You might be interested in

Endpoint: (1,7), midpoint: (-10,10)

algol [13]

The answer is (-21, 13) for The second endpoint.

Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Kx + Lx)/2 = Mx

(Kx + 1)/2 = -10

Kx + 1 = -20

Kx = -21

And now we do the same thing for y values

(Ky + Ly)/2 = My

(Ky + 7)/2 = 10

Ky + 7 = 20

Ky = 13

This gives us the final point of (-21, 13)

5 0

3 years ago