No Isosceles Triangle Is Right Is That True Or False
No isosceles triangle is right is that TRUE or FALSE
Answer:
FALSE. Because an isosceles triangle can also be a right triangle.
Step-by-step explanation:
Let us define what is an isosceles triangle really is.
ISOSCELES TRIANGLE is a triangle having two sides equal in length. Thus, it has also two angles equal in measurement.
We all know that the sum of the interior angles of any triangle is always equal to 180 degrees. Thus in the case of an isosceles triangle, two of its angles must be equal and if added both to the third angles, they will have a sum of 180 degrees.
Now let us define what a right triangle is.
RIGHT TRIANGLE is a triangle having one of its angle equal to 90 degrees. So no matter where that angle is located on the triangle, as long as it contains the 90 degree angle, then it is considered a right triangle.
So the question is, can an isosceles triangle also be a right triangle?
Absolutely YES.
Why?
Because consider a triangle having two of its angles equal to 45 degrees each. If we add both and then subtract to 180 degrees, then the third angle would be 90 degrees. Refer to the illustration attached.
Sum of interior angles = A + B + C
180 deg = 45 deg + 45 deg + C
C = 90 deg
Therefore, we have proven that there really is an isosceles triangle that is also a right triangle.
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