Given:
The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).
To find:
The type of the given triangle.
Solution:
Distance formula:
Using the distance formula, we get
Similarly,
And,
Two sides of the triangle are equal, i.e., 
. So, the triangle is an isosceles triangle.
Sum of square of two smaller side is
Using the Pythagoras theorem, we can say that the given triangle is a right triangle.
Therefore, the correct options are B and F.
Answer:
42
Step-by-step explanation:
SST = ∑
(
y
−
¯
y
)
² (¯
y = mean of y values)
¯
y = (5+8+14)/3 = 27/3 = 9
∑
(
y
−
¯
y
)
² = (
5
−
9
)
² + (
8
−
9
)
² + (
14
−9
)
²
= ( −
4
)
² + ( −
1
)
² + (
5
)
²
= 16 + 1 + 25
= 42
First you have to put like terms together:
bf+af+be+ae
Now you factor the first two terms and then the two last terms:
f(b+a)+e(b+a)
Now you factor even further. By putting what is in parentheses by what is outside the parentheses:
(b+a)(f+e)
What you got is correct as mine is too. I hope this formula helps for future problems:
ax+bx+ac+bc=x(a+b)+c(a+b)
=(a+b)(x+c)
Answer:
x = 121°
Step-by-step explanation:
If you add up all the angles of a triangle, you get 180°.
So you must add up all the angles.
Next you subtract 59 on both sides.
x should be 121°.
If you would like to check your answer, you can add up 27, 32, and 121. If it all equals to 180, then your answer is correct.
