A local non profit organization is selling popcorn to raise money for hurricane relief. The organization paid $4 per bag for the

Answer:

C. The hypotenuse measures twice the distance of the shorter leg.

B. The longer leg is √3 times the length of the shorter leg.

Step-by-step explanation:

A 30-60-90 triangle is considered a right triangle. Triangles containing a right angle are classified as right triangles. Only one right angle can exist in such a triangle. The representation of this case is illustrated below. Let’s clarify why the proposed statements are valid:

The hypotenuse of a right triangle is always opposite to the right angle. If we designate as the shorter leg, the sine law affirms that the hypotenuse is:

This indicates that the hypotenuse is double the length of the shorter leg

The longer leg, which we can call , can be determined with the Pythagorean Theorem:

Thus, it is accurate that the longer leg is √3 times longer than the shorter leg.

Answer: 39 cm

Step-by-step explanation:

Let's consider the kite as depicted in the image provided, where TW=5 cm, TX=12 cm, and TZ=4 cm.

First, we need to determine the lengths of the unknown sides to calculate the perimeter, assuming that both the top and bottom parts consist of isosceles triangles.

For the upper segment, we will apply the Pythagorean Theorem to triangle TWZ, with TZ measuring 4 cm and TW being 5 cm. Hence, we must calculate WZ:

By isolating :

For the lower segment, we can apply the Pythagorean Theorem to triangle WZX, where WZ=3 cm and ZX=8 cm. We need to find WX:

Now that the lengths of all sides are identified, the perimeter can be calculated:

The closest option to this calculated value is 39 cm.