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:
55
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The other ones are false claims
Answer:
D E + E F greater-than D F
5 less-than D F less-than 13
Triangle D E F is a scalene triangle
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
we have the triangle EDF
where
<u><em>Applying the triangle inequality theorem</em></u>
1)
2)
so
The length of DF is the interval -----> (5,13)
The triangle DEF is a scalene triangle (the three length sides are different)
therefore
<em>The statements that are true are</em>
D E + E F greater-than D F
5 less-than D F less-than 13
Triangle D E F is a scalene triangle
Answer:
2550yards
Step-by-step explanation:
Perimeter of a rectangle = 2L + 2W
L is the length
W is the width
If perimeter of a rectangle is 425 yards, then;
425 = 2L + 2W
425 = 2(L+W)
L+W = 425/2 .... 1
If the length and width of the rectangle are each multiplied by 6
P = 6(2L) + 2(2W)
P = 12L + 12W
P = 12(L+W) .... 2
Substitute 1 into 2
P = 12(425/2)
P = 6*425
P = 2550yd
Hence the perimeter of new triangle is 2550yards