Let a,b,c be the sides of the triangle. Make c the longest side. The value of a and b doesn't matter.
a = 9
b = 40
c = 41
The value of a^2+b^2 is
a^2+b^2 = 9^2+40^2 = 1681
The value of c^2 is
c^2 = 41^2 = 1681
Because a^2+b^2 = c^2 for these values, this means that we have a right triangle.
Answer is choice D
Answer:
Area of trapezoid = 21 cm²
Step-by-step explanation:
Given:
Length of rectangular shape = 4 cm
Width of rectangular shape = 3 cm
Base of triangle = 3 cm
Number of triangle = 3 cm
Find:
Area of trapezoid
Computation:
Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]
Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]
Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]
Area of trapezoid = 12 + 9
Area of trapezoid = 21 cm²
In order to find the value for 'a', we can use the law of cosine, which is given by
From the given triangle, we have
On substituting these values in the above mentioned formula, we get
Thus, the length of a is 19.45
Second option is correct.
x = a number
7 + 2x = 21
Subtract 7 from both sides
2x = 14
Divide both sides by 2
x = 7
7 is the only number that makes this sentence true.
Answer:
The answer is x = 3
Step-by-step explanation:
5x + 9 = 24
5x +9 -9 = 24 - 9
5x = 15
x = 15/5 = 3
Therefore, x = 3
Kelly multiplied 5 to each side when she solved for x, which is incorrect.