Question

State whether the given measurements determine zero, one, or two triangles.

A = 80°, a = 24, b = 50

Answer 1

Answer on Question #53919-Math-Geometry

State whether the given measurements determine zero, one, or two triangles.

$$A = 80{}^{\circ}, a = 24, b = 50$$

Solution

Solve for $h$:

$$\sin 80{}^{\circ} = \frac{h}{50}.$$ $$h = 50 \sin 80{}^{\circ} \approx 49.2.$$

Because $a < h$, no triangle is formed.

Answer: zero.

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