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3 years ago

Sketch seven points. Then, connect the points to form a closed plane figure. What kind of polygon did you draw?

Mathematics

2 answers:

weqwewe [10]3 years ago

7 0

It’s a heptagon, which has seven points.

denis-greek [22]3 years ago

6 0

Answer:

A Polygon that has 7 points would have to be a heptagon.

Step-by-step explanation:

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Unit 8: Right Triangles & Trigonometry<br> Homework 2: Special Right Triangles

Vsevolod [243]

Answer:

Part 1) $x=14\sqrt{2}\ units$

Part 2) $y=14\ units$

Part 3) $z=14\sqrt{3}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ABC

we know that

The triangle ABC is a $45^o-90^o-45^o$

Is an isosceles right triangle

The legs are equal

therefore

AC=AB

$x=14\sqrt{2}\ units$

step 2

Find the length side BC

Applying the Pythagorean Theorem]

$BC^2=AB^2+AC^2$

$BC^2=(14\sqrt{2})^2+(14\sqrt{2})^2$

$BC^2=784\\BC=28\ units$

step 3

Find the value of y

In the right triangle BCD

$sin(30^o)=\frac{BD}{BC}$ ----> by SOH (opposite side divided by the hypotenuse)

$sin(30^o)=\frac{y}{28}$

Remember that

$sin(30^o)=\frac{1}{2}$

$\frac{y}{28}=\frac{1}{2}\\\\y=14\ units$

step 4

Find the value of z

In the right triangle BCD

$cos(30^o)=\frac{DC}{BC}$ ----> by CAH (adjacent side divided by the hypotenuse)

$cos(30^o)=\frac{z}{28}$

Remember that

$cos(30^o)=\frac{\sqrt{3}}{2}$

$\frac{z}{28}=\frac{\sqrt{3}}{2}\\z=14\sqrt{3}\ units$

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