Answer:
22 meters.
Step-by-step explanation:
There is a pond between two points A and B.
To avoid the pond, one must walk to the south from point A to point C (say) by 34 meters and then to the east from point C to point B by 41 meters.
Now, it is clear that Δ ABC is a right triangle with AB as the hypotenuse that is the minimum distance from A to B through the pond.
The two legs of the right triangle are AC and CB.
Applying Pythagoras Theorem, AB² = AC² + CB² = 34² + 41² = 2837
⇒ AB = 53 meters (Rounded to the nearest meter)
Therefore, (34 + 41) - 53 = 22 meters will be saved if it were possible to walk through the pond. (Answer)
If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units. If you mean the bases of the triangles then the area is 170 sq. units.
If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:
10² + b² = 12²
100 + b² = 144
b² = 44
b = √44 = 6.6
This means we have two triangles and a rectangle. The area of the rectangle is 5(10) = 50 sq. units. The area of each triangle is 1/2(6.6)(10) = 33. Adding all 3 together we have:
50+33+33 = 116 sq. units.
If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:
50+60+60 = 170 sq. units.
Answer:
none of these
Step-by-step explanation:
Answer:
89.6
Step-by-step explanation:
(32°C × 9/5) + 32 = 89.6°F
