Answer number 6 please. Bots don’t answer I’m just trying to get help

Mathematics

1 answer:

Andrei [34K]2 years ago

5 0

Answer:

Step-by-step explanation:

20 × 2/5 = 8

15 × 2/5 = 6

5 × 2/5 = 2

p/s : the pic is for question no 7. i thought that you want the number 7 so i solved it first. then i reread your question. then i realized u actually want number six. so...

yeah, your welcome :)

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20 POINTS !!!!!! Determine whether side-side-angle (SSA) is a valid means for establishing triangle congruence. In this case, yo

Dahasolnce [82]

It's not valid because there are too many unknown quantities, meaning there is not exactly one triangle that could exist for any given SSA combination.

For a visual example, see the attached image below.

It's fairly obvious that $b\neq b'$ . One is acute, the other is obtuse. In the triangle on the right, the dashed side has the same length $A$ as in the triangle on the left. This dashed side and the actual side $A$ form an isosceles triangle with congruent base angles $b'$ . The angles $b$ and $b'$ are supplementary (they add to 180 degrees), or $(b')^\circ=(180-b)^\circ$ .

Now by the law of sines, in the first triangle,

$\dfrac{\sin a^\circ}A=\dfrac{\sin b^\circ}B$

and that in the second triangle,

$\dfrac{\sin a^\circ}A=\dfrac{\sin(b')^\circ}B=\dfrac{\sin(180-b)^\circ}B$

but we also know that $\sin(180-x)^\circ=\sin x^\circ$ . Hence $\sin b'=\sin b$ .

Two different angles in this arrangement allow for two different triangles to be constructed, so having a SSA correspondence between two triangles is not enough evidence for their congruence.