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3 years ago

The triangles below are similar because of the:

Mathematics

1 answer:

STALIN [3.7K]3 years ago

8 0

Answer:

ΔABC and ΔXYZ are SIMILAR by SSS property of similarity.

Step-by-step explanation:

SSS Similarity Theorem:

Two triangles are said to be similar if their CORRESPONDING SIDES are proportional.

In ΔABC and ΔXYZ, if $\frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ}$ , then △ABC∼△YZX

Here, in ΔABC and ΔXYZ

AB = 9, BC = x , AC = 12

Similarly, XY = 3, YZ = 2, ZX = 4

Here,

$\frac{AB}{XY} = \frac{9}{3} = 3\\\frac{BC}{YZ} = \frac{x}{2} \\\frac{Ac}{Xz} = \frac{12}{4} = 3$

⇒ Corresponding sides are in the ratio of 3, if BC =6 units

Hence, if BC = 6 units, then the ΔABC and ΔXYZ are SIMILAR by SSS property of similarity.

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