Answer:
28inches
Step-by-step explanation:
∠A + ∠B + ∠C = 180°
∠A + 65° +93° = 180°
∠A + 158° = 180°
∠A= 180°-158° = 22°
Using Law of Sines
a/sinA= b/sinB
a/sin22= 68 inches/sin65
a/sin22 = 68/0.9063 = 75.03
a = 75.03 x sin 22
a = 75.03 x 0.3746 = 28.106238≈28 inches
Since the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse, the values will never be more than 1, because (some number) / (a bigger number) from a right triangle is always going to be smaller than 1.
Answer:
<em>3. No.</em>
<em>4. No, not necessarily.</em>
<em>5. Yes.</em>
Step-by-step explanation:
3. No. With the two triangles, she knows that one angle of each is a right angle. She does not know anything about side lengths. She cannot prove the triangles are congruent.
4. We cannot prove the triangles are congruent. With the perpendicular segments, there is a pair of congruent, right angles. Then there are two pairs of sides that are congruent, but the order is SSA, and SSA does not prove triangles congruent.
5. Using the two sets of perpendicular lines, you have two congruent, right angles. Then you have the other pair of given congruent angles. Finally, segment RT is congruent to itself. This makes AAS. the triangles are congruent.
<h2>
Answer:</h2><h2>40 minutes</h2>
Step-by-step explanation:
