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1 month ago

In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.

Mathematics

2 answers:

zzz [12.3K]1 month ago

9 0

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

zzz [12.3K]1 month ago

8 0

Response:<R > 90°, <S + <R < 90°, <R > <T, <R > <S

Detailed explanation:

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