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Triangle ABC is similar to triangle PQR, as shown below:

Two similar triangles ABC and PQR are shown. Triangle ABC has sides AB equals c, BC equals a, and AC equals b. Triangle PQR has

Which equation is correct?

Triangle ABC is similar to triangle PQR as shown below Two similar triangles ABC and PQR are shown Triangle ABC has sides AB equals c BC equals a and AC equals class=

Respuesta :

c is the correct equation

given ΔABC is similar to ΔPQR

then the ratios of corresponding sides are equal.

the sides a, b and c inΔABC correspond to the sides p, q and r in ΔPQR

thus the following ratios are equal

[tex]\frac{a}{p}[/tex] = [tex]\frac{b}{q}[/tex] = [tex]\frac{c}{r}[/tex]

from this we can see that [tex]\frac{c}{r}[/tex] = [tex]\frac{a}{p}[/tex] → c


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