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3 years ago

Are the triangles similar? How do you know? A. yes, by SAS B. yes, by SSS C. yes, by AA D. no

Mathematics

2 answers:

lord [1]3 years ago

8 0

Answer:

Option D is correct.

No, the triangles are not similar.

Step-by-step explanation:

AA postulates states that two triangles are similar if they have two corresponding angles equal.

Labelled the diagram as shown below:

We know that sum of all the measure of the angles in a triangle is 180 degree.

In triangle ABC:

$\angle A + \angle B + \angle C = 180^{\circ}$

⇒ $30.4^{\circ}+84.6^{\circ}+\angle C = 180^{\circ}$

⇒ $115^{\circ}+\angle C = 180^{\circ}$

Subtract 115 degree from both sides we get;

⇒ $\angle C = 65^{\circ}$

In triangle ABC and PQR

$\angle A = \angle Q = 84.6^{\circ}$

$\angle C \neq \angle R$

i.e $65^{\circ}\neq 66^{\circ}$

⇒These triangles does not satisfy the AA postulates

Therefore, the given triangles are not similar.

WARRIOR [948]3 years ago

4 0

No, because 30.4+84.6+66=181
the sum of a triangle=180
so they are not similar.

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see the attached figure with the letters

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2) find m(x) in the interval B,C
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3) find n(x) in the interval A,B
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4) find n(x) in the interval B,C
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5) find h(x) = n(m(x)) in the interval A,B
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for the interval (A,B) h'(x)=-1.44
for the interval (B,C) h'(x)= 0.72

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