+0

# Special Types of Triangles

+1
184
2
+5

1) What is the value of X?

https://i.imgur.com/uyRpVxN.png - picture

1

2

3

4

2) What is the length of AB?

https://i.imgur.com/BYLvIB8.png - picture

2

3

4

6

3) What is the value of X?

https://i.imgur.com/tMwxnn6.png - picture

4

4√3

8√3

16

4) What is the value of X?

https://i.imgur.com/Wh7xwaN.png - picture

3

6

3√2

6√2

Apr 24, 2018

#1
+101322
+3

First one

This is an equilateral triangle....all sides are equal....so....this implies that

2x + 5  =  4x  - 1       add 1 to both sides, subtract 2x from each side

6  = 2x       divide both sides by 2

3  = x

Second one....again...we have an equilateral triangle...so...

5x  - 4  = 3x      add 4 to both sides....subtract 3x from both sides

2x  = 4   divide both sides by 2

x  = 2

So  AB  =  5(2) - 4   =  6

Third one.....this is  a 30-60-90  right triangle....the hypotenuse is opposite the 90 degree angle

And the side oppposite the 30 degree angle is 1/2 of the hypotenuse

So  x  =  (1/2) *8   =  4

Last one.....this is a 45-45-90 right triangle

The side opposite the right angle  - x -  is  √2 times as long as either of the other two sides

So

x  = √2 * 6   =  6√2

Apr 24, 2018