Answer:
<u>70 square units</u>
Step-by-step explanation:
<em>I have plotted the points on the coordinate system and connected roughly using a red line. Image is attached. </em>
The arrow created, consists of a TRIANGLE and a RECTANGLE. The area of the arrow would be:
Area of Arrow = Area of Triangle + Area of Rectangle
Area of Triangle = 0.5 * base * height
Base is 12 units
Height is 7 units, so
Area of Triangle = 0.5 * 12 * 7 = 42
Now,
Area of Rectangle = length * height
Length is 7
Height is 4
Area of Rectangle = 7 * 4 = 28
<u>Area of Arrow = 42 + 28 = 70 square units</u>
Answer:
Yes he has enough fence to go round the flower bed.
Step-by-step explanation:
1 yard = 3 feet
25 feet = 25/3 = 8.33 yards
Yes he has enough fence to go round the flower bed.
We will use the law of cosines
<span>side a² = b² + c² -2bc • cos(A)
</span><span>side a² = 729 + 196 -2*27*14 * cos (46)
</span><span>side a² = 925 -(756 * 0.69466)
</span>side a² = <span><span>399.83704
</span>
side a = </span><span><span><span>19.995925585
</span>
</span>
</span>
We could round that to 20
a = 20 b = 27 c =14
We can calculate a triangle's area when we know all 3 sides by using Heron's Formula
<span>area = square root (s • (s - a) • (s - b) • (s - c))
where s is the semi-perimeter </span>
semi-perimeter<span> = (side a + side b + side c) ÷ 2</span>
s = (20 + 27 + 14) / 2
s = 30.5
Now we use Heron's Formula
area = square root (s • (s - a) • (s - b) • (s - c))
area = square root (30.5 • (<span>30.5 - 20) • (</span><span>30.5 - 27) • (</span><span>30.5 - 14))</span>
area = square root (30.5 • (10.5) • (3.5) • (<span>16.5))</span>
<span>area = square root (18494.4375)
</span>
<span><span><span>area = 135.9942553934
</span>
</span>
</span>which rounds to
136 square feet
Source:
http://www.1728.org/triang.htm
Answer:
17 inches
Step-by-step explanation:
An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.
Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.
Now we know that for an obtuse triangle,




c > 16.64
Therefore the smallest possible whole number is 17 inches.