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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1 ten
2 hundreds?
18 ones?
218
Answer:
7.)
m<1 = 141
m<2= 39
m<3 = 141
8.)
m<1 = 17
m<2 = 73
m<3 = 107
9.)
m<1 = 101
m<2 = 33
m<3 = 71
Step-by-step explanation:
use the postulates and theorems your teacher gave you.
Also you need some logic