1. Yes.
Since, to be a triangle, the sum of the smallest two sides must be greater than the third side, the triangle can be formed.
3 + 22 > 24
2. This triangle is a right triangle.
180 - 60 - 30 = 90
90 degrees is a right angle.
Hope this helps!
Answer:
The value of x = 9
Step-by-step explanation:
Given the angles of the triangle
We know that the sum of angles of a triangle is 180°.
Therefore,
(13x+2)° + (5x-7)° + (3x-4)° = 180°
13x+2 + 5x-7 + 3x-4 = 180°
21x + 2 - 11 = 180°
21x - 9 = 180°
21x = 180° + 9
21x = 189
divide both side sby 21
21x/21 = 189/21
x = 9
Therefore, the value of x = 9
Just by looking at it, 2 seems to be the correct answer. I mean if you think about it, when the triangle is split in two smaller triangles, side LN is longer than LP so that means x needs to be a small number. I could either be 2 or 1. Well if you look at the big picture, side LM is longer than LN so it’s gonna need to be bigger. If you say x=1 then you are saying 2(1) +4 = 6 (therefore LM is 6) but if you say x=2 then you are saying 2(2) +4 = 8 which makes more sense
If x=2 then you can use the Pythagorean’s theorem
a2 + b2 = c2
4^2 + b^2 = 5^2
16 + b^2 = 25
25-16= 9
b^2= 9
b= 3
Now that we know what NP is we can do Pythagorean’s theorem to figure out what side LP is (we already know it but you can do it again to check lol)
So the answer is 2
Answer:
100x
Step-by-step explanation:
