Answer:
The three given points are the vertices of a right triangle.
Step-by-step explanation:
To determine that the three points are the vertices of a right triangle let us find the distance between each two points
The formula of the distance is
∵ = 6 and = -6
∵ = 9 and = -6
∴ =
∴ = 3
∵ = 6 and = -6
∵ = 9 and = 1
∴ =
∴ =
∵ = 9 and = 1
∵ = 9 and = -6
∴ =
∴ = 7
<em>Let us use the fact that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle at the vertex which opposite to the longest side</em>
∵ The longest side is
∵ The other two sides are 3 and 7
∵ ( )² = 58
∵ (3)² + (7)² = 9 + 49 = 58
∴ ( )² = (3)² + (7)²
- By using the fact above
∴ The triangle is a right triangle
The three given points are the vertices of a right triangle.
Answer:
Step-by-step explanation:
You need to factor out the greatest perfect square factor possible.
To get the type of triangle mentioned we need to find the value of x first.
Sum of angles in a triangle add up to 180°, thus
2x+(3x-15)+(7x+15)=180
2x+3x-15+7x+15=180
12x=180
x=15°
thus the respective sizes will be:
2x=30°
3x-15=30°
7x+15=120°
Since the triangle has two congruent angles we conclude that the triangle is called Isosceles triangle
Answer:
line AB is parallel to line CD
Step-by-step explanation:
Because they have the same gradient which is 2
The difference from 14 and 9 is 5