Help, with an explanation please

Mathematics

2 answers:

Ipatiy [6.2K]2 years ago

8 0

Answer:

$c = 2 \times 8 \times 3.14 = 50.24$

alisha [4.7K]2 years ago

5 0

answer:

50.24 in

step-by-step explanation:

the question is asking us to find the circumference
the formula is given: C = 2πr
all we have to do is plug in the info we know or get

C = 2πr

C = 2(3.14)(8)

the diagram given us the radius since the line is half only — 8
we have to use the given pi value — 3.14
now solve the equation

C = 2(3.14)(8)

C = 50.24 in

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Points M, N, and P are respectively the midpoints of sides AC , BC , and AB of △ABC. Prove that the area of △MNP is on fourth of

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Answer:

The area of △MNP is one fourth of the area of △ABC.

Step-by-step explanation:

It is given that the points M, N, and P are the midpoints of sides AC, BC and AB respectively. It means AC, BC and AB are median of the triangle ABC.

Median divides the area of a triangle in two equal parts.

Since the points M, N, and P are the midpoints of sides AC, BC and AB respectively, therefore MN, NP and MP are midsegments of the triangle.

Midsegments are the line segment which are connecting the midpoints of tro sides and parallel to third side. According to midpoint theorem the length of midsegment is half of length of third side.

Since MN, NP and MP are midsegments of the triangle, therefore the length of these sides are half of AB, AC and BC respectively. In triangle ABC and MNP corresponding side are proportional.

$\triangle ABC \sim \triangle NMP$