For the triangles ABC and MNP m∠A = m∠M, AB = 16, AC = 10, MN = 7, MP = 24. Find the ratio of the A△MNP and A△ABC .
2 answers:
Answer:
Ratio of area of triangles MNP and ABC is 1.05
Step-by-step explanation:
There are 2 triangles ABC and MNP.
We are given that ,m∠A = m∠M.
AB = 16 and AC = 10.
MN = 7 and MP = 24.
Area of a triangle ∝ Product of any two sides.
So area of triangle ABC ∝ 16
Area of triangle ABC = 160 ,
where k is a constant.
So area of triangle MNP ∝ 7
Area of triangle MNP = 168
So ratio of area of triangles =
=
= 1.05
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Answer:
Step-by-step explanation:
The first picture below shows the missing image in the question.
There are 4 edges of each tile;
This clearly explains to us that the total number of edges present in the n tiles is 4n.
Now, if a tile "X" touches and comes in contact with another tile "Y", then edges touching each other are one edge of a tile X and one edge of a tile Y.
From the second diagram below, the edge, X_2, and Y_4 are touching each other.
Now, the total number of edges that touch some edges is always even.
We can now say that:
The edge length of filling = No. of edges that do not touch another file
= Total no. of edges - No. of edges that touch another edge.
However, the total number of edges is even.
The number of edges that touch another edge is also even.
Thus, the difference is also even and the number of edges that do not touch another is even.
So, the edge length of filling is always even.
