Answer:
6.) No, you do not agree with Ted.
7.) x = 34 degrees
Step-by-step explanation:
6.) For a triangle to be valid, it must meet these requirements:
a+b>c
a+c>b
b+c>a
If it fails a single one, then it is invalid.
For example: 6+11 is not greater than 4. Therefor, Ted is incorrect
7.) Though you see a square, or rectangle (whatever you want to call it), you can break it up into 2 triangle, only 1 of which you need to solve for.
We have these clues:
angle 1 = x
angle 2 = 56 degrees
angle 3 is a right angle
Any triangle must have its angles sum to 180 degrees
We also know that right angles are equal to 90 degrees.
Our updated clues:
angle 1 = x
angle 2 = 56 degrees
angle 3 = 90 degrees
angles 1+2+3 must equal 180
So we can make this equation:
x+56+90=180
Add like terms and solve for x:
x = 34
Answer:
all of these are right angled triangle. so u can use pythagoras theorem, h²=p²+b²
longest side is called hypotenious (h)
and u can assume any of the remaining side as p and b as your choice
eg=
1) h=13
p=12
b=?
using pythagrous theroem
h²=p²+b²
13²=12²+b²
169= 144+b²
169-144=b²
25=b²
25 is the square root of 5 so
5²=b²
square root of each side will be cancelled so
b = 5
In this way u can solve your questione.....
Answer:
(a) 8√3
Step-by-step explanation:
All of the triangles are similar, so the ratio of hypotenuse to long side is the same for all. Comparing the middle-size triangle to the largest, we have ...
... x/12 = 16/x
... x² = 192 . . . . . . . . . . . . . multiply by 12x; next take the square root
... x = √192 = 8√3 . . . . . . seems to match answer choice (a)
Answer:
Answer is 57.
Step-by-step explanation:
All angles on a line add up to 180.
180 - 123 = 57