The perimeter of triangle ABC is 24 units
Step-by-step explanation:
If a segment joining the mid points of two sides of a triangle, then
this segment is:
- Parallel to the third side
- Its length is half the length of the third side
In The triangle XYZ
∵ A is the mid point of XY
∵ B is the mid point of YZ
∴ AB =
XZ
∵ XZ = 18 units
- Substitute the value of XZ in AB
∴ AB =
× 18 = 9 units
∵ B is the mid point of YZ
∵ C is the mid point of XZ
∴ BC =
XY
∵ AY = 7 units
∵ AY =
XY
∴ XY = 2 × AY
∴ XY = 2 × 7
∴ XY = 14 units
∴ BC =
× 14 = 7 units
∵ A is the mid point of XY
∵ C is the mid point of XZ
∴ AC =
YZ
∵ BZ = 8 units
∵ BZ =
YZ
∴ YZ = 2 × BZ
∴ YZ = 2 × 8
∴ YZ = 16 units
∴ AC =
× 16 = 8 units
∵ The perimeter of a triangle = the sum of the lengths of its sides
∴ Perimeter Δ ABC = AB + BC + AC
∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units
The perimeter of triangle ABC is 24 units
Learn more:
You can learn more about triangles in brainly.com/question/5924921
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Answer:
The function would be
.This is in the general form
, where a is the initial value, b is the rate it increases by, and x is the amount of time. For our function, the initial value is 4 and the rate it increases by is 2.
Step-by-step explanation:
Answer:
The percentage change = 6.05%
Step-by-step explanation:
New value = £209.99
Old value = £198
Percentage change = [New Value - Old Value] / [Old Value] × 100
= [209.99 - 198] / [198] × 100
= [11.99] / [ 198] × 100
= 0.06 × 100
= 6.05%
Therefore, the percentage change = 6.05%
9514 1404 393
Answer:
(-2, 1)
Step-by-step explanation:
Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.
(x, y) ⇒ (-x, -y) . . . . . rotation 180°
(2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P
The coordinates of the rotated point are (-2, 1).
Translation means you are shifting the line either up or down.