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# A billiards triangle is equiangular. What is the perimeter?

A billiards triangle is equiangular. What is the perimeter?

base = 4x- 9 1/4

side = 2x+1

A triangular shaped trellis has angles R, S, and T that measure 73°, 73°, and 34°, respectively. If ST = 4y + 6 and TR = 7y - 21, what is the value of y?

-5

-15

-9

-11

Two triangular tiles each have two sides measuring 4 inches. Which is a true statement?

-The triangle cannot be congruent.

-The triangles are congruent.

-The triangles may be congruent.

-Their corresponding angles are congruent.

The design at the right was made by wrapping string around nails. Segment PL is the angle bisector of angle KPM. Which can you conclude from this statement?

-LK = 7 in.

-measure of angle JLK = 44°

-LN = 5 in.

-measure of angle K = 46°

The distance from Jacksonville to Tampa is 171 miles. The distance from Tampa to Miami is 206 miles. Use the Triangle Inequality Theorem to find the range for the distance from Jacksonville to Miami.

-35 mi < d < 377 mi

- -35 mi < d < 377 mi

-0 mi < d < 35 mi

-0 mi < d < 377 mi

In Jessica's room, the distance form the door D to the closet C is 4 feet. The distance from the closet to the window W is 6 feet. The distance from the window to the door is 8 feet. On a floor plan of her room, triangle CDW is drawn. Order the angles from least to greatest measure.

-I think it is : D, C, W. <--But could this be confirmed?

### 2 Answers

- MorewoodLv 71 decade agoFavorite Answer
There seems to be an awful lot of facts you don't understand to be posting all these questions!

Based on the above questions, you need to study the relations between sides and angles of triangles, particularly the Equilateral Triangle Theorem, the Isosceles Triangle Theorem, some related theorems for which I cannot find names (see the last source below), and the triangle inequalities (there are THREE for any given triangle - rearrange the sides in all possible ways). You also need to study the conditions under which triangles are congruent. You need to know the definition of "bisector" (it makes two EQUAL pieces - an equation!). You need to recognize that a BASE of a triangle is just one of the sides and that the perimeter is the sum of all three sides.

Finally you need to be able to solve linear equations. Like: 4x - 9 1/4 = 2x + 1 and 4y + 6 = 7y - 21. Is THAT a problem?

Source(s): Start your study of triangles by reading this. Look for the above terms. Don't worry too much about the more advanced stuff, there is a lot in there that you will not get to in this (or even any future) math course. http://en.wikipedia.org/wiki/Triangle For your last question (you need to change the order - you have all three angles in the wrong positions) use Theorems 36/37 from the site below. (Turn OFF Javascript first, that site almost froze my machine!) http://www.cliffsnotes.com/study_guide/Triangle-In... Or just read: Theorem 36: If two sides of a triangle are unequal, then the measures of the angles opposite these sides are unequal, and the greater angle is opposite the greater side. Theorem 37: If two angles of a triangle are unequal, then the measures of the sides opposite these angles are also unequal, and the longer side is opposite the greater angle. - 5 years ago
24=a+a+a => a=8 as we know the area is S=a*a*sin(60)/2 = 8*8*sqrt(3)/4=16*sqrt(3)=27.7