To find out if a triangle is a right triangle, you can use the Pythagorean theorem(which can only be used for right triangles):
a² + b² = c² (c is the hypotenuse or the longest side) And you can plug in the side lengths into this equation. If they are the same number on both sides, it is a right triangle, if they are different numbers it is not a right triangle.
6.) a² + b² = c²
(4√3)² + (11)² = (13)²
(16(3)) + 121 = 169
48 + 121 = 169
169 = 169 It IS a right triangle
7.) a² + b² = c²
(5)² + (2√14)² = (9)²
25 + (4(14)) = 81
25 + 56 = 81
81 = 81 It IS a right triangle
8.) a² + b² = c²
(6)² + (√49)² = (√82)²
36 + 49 = 82
85 = 82 It is NOT a right triangle
9.) a² + b² = c²
(13)² + (2√39)² = (16)²
169 + (4(39)) = 256
169 + 156 = 256
325 = 256 It is NOT a right triangle
Width = x
length = 2x
96 = x + x + 2x + 2x
96 = 6x
x = 16
2x is simply 16 × 2.
Answer:
y=-2x+10
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-(-10))/(1-10)
m=(8+10)/-9
m=18/-9
m=-2
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y-y1=m(x-x1)
y-(-10)=-2(x-10)
y+10=-2x+20
y=-2x+20-10
y=-2x+10
Answer:
64
Step-by-step explanation:
Answer:
9π - 9
Step-by-step explanation:
Depends on what the question stated was pi (π). The area of the circle is 9(3 squared) * π. the shaded area is the area of the circle - the area of the triangle. The area of the triangle is base * high / 2. If the diameter of the circle (6) is what we use as the base, then 3 would be the high, making the area 9. This means the shaded area would be 9π - 9.
