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musickatia
3 months ago
10

Consider the two triangles. Triangles A B C and H G I are shown. Angles A C B and H I G are right angles. The length of side A C

is 15 and the length of side C B is 20. The length of side H I is 12 and the length of I G is 9. To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that

Mathematics
2 answers:
Inessa [12.5K]3 months ago
8 0

Answer:

Ambos son semejantes por la similitud SAS.

Esta similitud SAS se equipara a la congruencia.

Step-by-step explanation:

Paso 1:

Para demostrar que los triángulos ACB y HIG son semejantes.

Debemos observar los lados correspondientes.

SAS= Lado ángulo lado, donde el ángulo debe estar entre los dos lados.

\angle ACB = \angle HIG

Analicemos los lados correspondientes.

IG/AC = IH/AC

\frac{9}{15} = \frac{12}{20}

Al reducir ambos a su forma más baja, dividimos numerador y denominador por 3 para la primera fracción y por 4 para la segunda.

Obtenemos

\frac{3}{5} = \frac{3}{5}

Ambos lados son iguales.

Así que está demostrado que ambos son semejantes según el teorema de similitud SAS.

lawyer [12.5K]3 months ago
7 0

Answer: C

Step-by-step explanation: He trabajado en ello para ti:)

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