60.0k views
2 votes
Determine whether the given measures can be the lengths of the sides of a triangle. write yes or no. explain. 9.2, 14.5, 17.1

2 Answers

2 votes

Answer with explanation:

If the length of three segments are, 9.2, 14.5 and 17.1 ,it can be sides of triangle if , Sum of two segments is greater than the third segment.

1.→ 9.2 +14.5=23.7 >17.1

2.→ 14.5 +17.1=41.6 > 9.2

3.→17.1 +9.2=26.3 >14.5

As, sum of any two segment is greater than third segment, so the following measurements can be the the lengths of the sides of a triangle.

User Farhad
by
8.7k points
4 votes
If the triangle has a angle of 90°, you can solved this exercise by applying the Pythagorean Theorem, which is:

h²=a²+b²
h=√(a²+b²)

h: It is the hypotenuse (The opposite side of the right angle and the longest side of the triangle).

a and b: They are the legs (The sides that form the right angle).

The result of h=√(a²+b²), should be 17.1 (The longest side given in the problem). So, let's substitute the values of the legs into the Pythagorean equation:

h=√(a²+b²)
h=√((9.2)²+(14.5)²)
h=17.1

Therefore, the answer is:

Yes, the given measures can be the lengths of the sides of a triangle.
User Iniravpatel
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories