SSS

SAS

AA

Not Similar

slaggingV
2021-08-10
Answered

Are the two triangles similar? If so, by what similarity shortcut?

SSS

SAS

AA

Not Similar

SSS

SAS

AA

Not Similar

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faldduE

Answered 2021-08-11
Author has **109** answers

Step 1

For any two triangles to be similar

(1) The corresponding angles of both the triangles should be equal

(2) The corresponding sides of both the triangles should be in proportion to each other.

Step 2

In the given triangles,$\mathrm{\angle}SUT=\mathrm{\angle}DUE$ (vertically opposite angles)

The ratio of sides,

$\frac{SU}{UD}=\frac{49}{21}2.333$

$\frac{TU}{UE}=\frac{73}{31}2.354$

As we see that the sides are not in proportion, so the triangles are not similar.

For any two triangles to be similar

(1) The corresponding angles of both the triangles should be equal

(2) The corresponding sides of both the triangles should be in proportion to each other.

Step 2

In the given triangles,

The ratio of sides,

As we see that the sides are not in proportion, so the triangles are not similar.

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