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Allushta
1 month ago
13

Your classmate is unsure about how to use side lengths to determine the type of triangle. How would you explain this to your cla

ssmate?
Mathematics
2 answers:
babunello [11.8K]1 month ago
8 0
1) Equilateral Triangles: Triangles of this type have uniformly equal side lengths and angles. Therefore, if the side measurements are identical, the triangle is categorized as equilateral.

2) Isosceles Triangles: Such triangles feature two sides of the same length, with the third side differing. Given this, if the provided side lengths include two equal sides, it is classified as an isosceles triangle.

3) Scalene Triangles: These triangles have all sides of differing lengths. When all side lengths are distinct, it indicates a scalene triangle.

I hope this explanation is helpful!:) 
Inessa [12.5K]1 month ago
3 0

To clarify:

Begin by assessing the side lengths a, b, and c, with c being the longest side. Then, compute the sum of a squared and b squared, and compare it to c squared. If they are equal, the triangle qualifies as a right triangle. If c squared is less than the sum of a squared and b squared, the triangle is acute. Conversely, if c squared exceeds the sum of a squared and b squared, the triangle is categorized as obtuse.

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tester [12383]
Believe this is accurate.
6 0
3 months ago
In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
zzz [12365]

Answer:

∠ R > 90°

\angle s + \angle T < \angle 90

\angle R > \angle T

\angle R > \angle S    

Explicación paso a paso:

Dado que en el triángulo RST

\angle R> (\angle s +\angle T)

Ahora, según la condición, un ángulo es mayor que la suma de los otros dos ángulos.

En un triángulo, la suma de los tres ángulos es 180°

Por lo tanto, si un ángulo mide  90°, la suma de los otros dos debe ser igual a 90°

Y si uno de los ángulos es de 90°, solo los otros dos pueden ser de 45° cada uno.

Aquí suponiendo que el ángulo s = ángulo T = 30°, entonces con esta condición el ángulo r sería de 120°, que es mayor que 90°.

De lo anterior, se concluye que

Para, \angle R> (\angle s +\angle T)

∵ ∠ R = 120°, por lo tanto es mayor que 90°.

Es decir, ∠ R > 90°

\angle s + \angle T < \angle 90

\angle R > \angle T

\angle R > \angle S   Respuesta

9 0
3 months ago
Read 2 more answers
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