In a triangle, sum of square of two smaller sides is less than the square of third side than it is obtuse triangle. The triangle is obtuse.
What are types of triangle?
Triangle is the closed polygon, which has three sides and three angles. On the basis of angles of a triangle, the triangle can be divide into 3 types as,
- Acute triangle- Acute triangle is the triangle, in which the all the three interior angle of the triangle measure less then 90 degree. If the sum of the square of the two smaller sides is greater than the square of third side than it is acute triangle.
- Obtuse triangle-Obtuse triangle is the triangle, in which one of the interior angle of the triangle measure more than the 90 degree. .If the sum of the square of the two smaller sides is less than the square of third side than it is obtuse triangle.
- Right triangle-Right triangle is the triangle, in which one of the interior angle of the triangle measure equal to the 90 degree. If the sum of the square of the two smaller sides is equal to the square of third side than it is right triangle.
In the given triangle two smaller sides are 34 and 20 inches long. Than sum of the square of them is,
[tex]34^2+20^2=1556[/tex]
The largest side of the triangle is 47 inches long. Thus square of it is,
[tex]47^2=2209[/tex]
Here, the sum of the square of the two smaller sides is less than the square of third side than it is obtuse triangle as,
[tex]1556<2209[/tex]
Thus, the sum of the square of the two smaller sides is less than the square of third side than it is obtuse triangle. The triangle is obtuse.
Learn more about the type of triangle here;
https://brainly.com/question/17264112
