If in trianglePQR,
PQ, PQ = PR then
Answers
Answer:
it is issoceles triangle then angle Q=R
Answer:
Step-by-step explanation:
Given,
Triangle PQR
PQ = PR
Angle P = 36 degrees
An isoceles Triangle,
Since two sides of a triangle are equal doesn't implicitly imply that it is an isoceles triangle, it can also be an equilateral triangle. The second fact confirms this for us that one angle is 36 degrees and so it cannot be an equilateral triangle.
Now we know that,
Sum of angles is 180 degrees, &
Angles opposite to equal sides are equal
Side opposite to greater angle is greater than side opposite to smaller angle.
So that in this triangle two angles are same (Say x), and third angle is 36 degrees.
So,
x+x+36 = 180,or
x=72
So, now we have three angles as 72,72,36
So the side opposite to angle 72 will be largest, hence
PQ & PR are the largest sides of the given triangle PQR.