In △ABC, AB=13cm , BC=16cm and AC=8cm. Find the perimeter of the triangle formed by joining the mid-point of the sides of the triangle
3 points
15.5cm
17.5cm
18.5cm
16.5cm
Answers
Answer:
Answer:
18.5
Step-by-step explanation:
Here we will go to find the the perimeter of a triangle formed by the midpoints of the sides of a triangle using given three sides of triangle that is, ab , bc and ac . Then we can get the Perimeter of the triangle .
Step-by-step explanation:
Here we have a triangle ΔABC.we consider the midpoint of this triangle is D,E,F.
we should solve this sum using midpoint theorem.
Midpoint theorem:
The midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side. This is the midpoint theorem.
That is, D and E is the midpoint of AB and AC. Here DE is parallel to BC. So the value of DE is × BC.
Using the above theorem we should solve this question and find the Perimeter of the triangle.
Perimeter of the triangle = midpoint of AB + midpoint of BC + midpoint of AC.
Perimeter of the triangle = DE + EF + DF.
So, first we find the value of DE,EF and DF.
Already, we know the midpoint theorem. we should apply here.
That is, DE is parallel to BC side of the triangle. So that,
DE × BC
DE × (BC )
DE
Similarly, EF is parallel to AB side of the triangle. So that,
EF × AB
EF × (AB )
EF
DF is parallel to AC side of the triangle. So that,
DF × AC
DF × (AC )
DF
Now find the Perimeter of the triangle using DE,EF and DF values.
Perimeter of the triangle = DE + EF + DF
Perimeter of the triangle