Unit 4 congruent triangles homework 1 classifying triangles answer key


Asked by maham237 @ in Mathematics viewed by 2391 People


Directions: Classify each triangle by its angles and sides.
1.
2.
73
15.6 m
73°
349
14,4 m
6 m
3.
7 in
123
4.
3 mm
10 in
15 in
3 mm
3 mm
5.
6.
34 m
34 m
2011
72
17
177
489
48 m
60
22 it
7.
8.
600
20
24 in
604
15 in
106
15 in
O
16

Answered by maham237 @



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.


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