Respuesta :
Answer:
Step-by-step explanation:
1). Since, two sides of the given triangle are equal in measure, triangle is an isosceles triangle.
2). By Pythagoras theorem,
(Hypotenuse)² = (leg 1)²+ (leg 2)²
(15.6)² = (14.4)² + (6)²
243.36 = 207.36 + 36
243.36 = 243.36
Therefore, given triangle is a right triangle.
3). Since, one angle is 123° which is greater than 90°, given triangle is an Obtuse triangle.
4). All interior angles and all sides of the triangle are equal in measure.
Therefore, given triangle is an equilateral triangle.
5). One angle of the triangle is a right angle.
Therefore, given triangle is a right triangle.
6). Since, all interior angles and sides of the given triangle are different in measure, it's a scalene triangle.
7). All angles and sides of the triangle are equal in measure,
Therefore, it's an equilateral triangle.
8). One angle of the triangle is measuring 106° which is greater than 90°.
Therefore, it's an obtuse angle.
The classification of each triangle according to their angles and sides is as follows;
1) Isosceles triangle.
2) Right angle triangle
3) Obtuse Triangle
4) Equilateral Triangle
5) Right angle triangle
6) Scalene Triangle
7) Equilateral Triangle
8) Obtuse Triangle
We want to classify the triangles in the given image by their number of sides or angles.
1). From the image, we see that 2 of the sides of the triangle are equal and thus, it is an isosceles triangle.
2) We can see the 2 perpendicular sides of the triangle indicating that the angle formed there is 90°. Thus, the name of the triangle would be written as a right angle triangle.
3) We can see that the given interior angle is 123°. Now any triangle where one of its angles is more than 90°, is called an Obtuse triangle. Thus, the triangle here would be called an obtuse triangle.
4) We can see that all the three sides have equal measurements and also all the 3 interior angles are equal. Therefore, this triangle is called an equilateral triangle.
5) We can see the 2 perpendicular sides of the triangle indicating that the angle formed there is 90°. Thus, the name of the triangle would be written as a right angle triangle.
6) We can see that none of the 3 sides are equal and also none of the three interior angles are equal. The type of triangle that fits this properties is a scalene triangle.
7) We can see that all the three sides have equal measurements and also all the 3 interior angles are equal. Therefore, this triangle is called an equilateral triangle.
8) We can see that the given interior angle is 106°. Now any triangle where one of its angles is more than 90°, is called an Obtuse triangle. Thus, the triangle here would be called an obtuse triangle.
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