Answer:
Approximately 7.8 units
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
From the graph, we can see that A is (0,0). Let's let this be x₁ and y₁.
B is (-5,6). Let's let this be x₂ and y₂. So, substitute:
Simplify:
Square:
Add:
Take the square root. Use a calculator:
So, the distance between them is about 7.8 units.
And we're done!
Answer:
scalene
Step-by-step explanation:
step 1
Find the value of y
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
In this problem
m∠A+m∠B+m∠C=180°
substitute the given values
Solve for y
step 2
<em>Find the measure of angle B</em>
m∠B=(y+40)°
substitute the value of y
m∠B=(15+40)=55°
step 3
<em>Find the measure of angle C</em>
m∠C=(3y-10)°
substitute the value of y
m∠C=(3(15)-10)=35°
The three interior angles are different
so
The three sides of the ABC triangle will also be different
therefore
The right triangle ABC is scalene
