what are the interior angle measures of a right isosceles triangle
Is it 90,45,45
yes
Yes, you're right.
To find the interior angle measures of a right isosceles triangle, we can start by understanding what a right isosceles triangle is. A right isosceles triangle is a triangle with one right angle (90 degrees) and two equal-length sides.
We know that the sum of the interior angles in any triangle is always 180 degrees. In a right isosceles triangle, one angle is already fixed at 90 degrees because of the right angle. Let's call the other two angles "x".
Since the triangle is isosceles, it means the other two sides are equal in length. This implies that the remaining two angles must also be equal in measure. Therefore, we can represent each of the other two angles as "x".
Now, we can set up an equation to find the value of "x". Since the sum of the interior angles of a triangle is 180 degrees, we have:
90 + x + x = 180
Simplifying the equation:
90 + 2x = 180
Subtracting 90 from both sides:
2x = 90
Dividing by 2:
x = 45
So, each of the other two angles in a right isosceles triangle measure 45 degrees.
In summary, in a right isosceles triangle, one angle measures 90 degrees (the right angle), and the other two angles each measure 45 degrees.