State whether the given measurements determine zero, one, or two triangles. A = 58°, a = 25, b = 28

Mathematics

2 answers:

Pavlova-9 [17]3 years ago

6 0

I think the answer is one triangle not for sure though

Rom4ik [11]3 years ago

4 0

Well, we can find c with the equation c^2=a^2+b^2
c^2=25^2+28^2 c^2=625+784 c^2=1409 square root both sides to isolate c. c=√1409 c=37.53664876

A = 58°
Tan B=b/a Tan B=28/25 Tan B=1.12 B=tan^-1(1.12) B=48.2397003° or B=48°

All triangles have a total of 180° internal angel measurements. 180°-58°-48°=74°
This works because angle C would be the largest angle anyways.

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What is the measurement of angle POR

IgorLugansk [536]

Let us observe the given figure,

When two lines intersect each other, the angles opposite to each other are Vertically Opposite Angles. Vertically opposite angles are always equal in measure.

As, we can observe that the given lines intersect each other, and they form vertically opposite angles as $\angle POR , \angle SOQ$ and $\angle POS , \angle ROQ$