An angle measuring (870n)° is in standard position. For which value of n will the terminal side fall along the positive portion
2 answers:
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Answer:
Area of given triangle is 939.15cm² and smallest altitude is 30.8cm
<h3>Solution:</h3>We are given three sides of a triangle, Let the sides be :
- ( a ) = 35 cm
- ( b ) = 54 cm
- ( c ) = 61 cm
We can find the area of the triangle with its three sides using Heron's Formula
- <u>Heron's </u><u>Formula</u>
Heron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:
where ( s ) :
Therefore, for the given triangle first we will calculate ( s )
Now, Area of triangle will be:
Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,
Answer
Length = 10 ft
Width = 5 ft
Explanation
Area of the rectangle given = 50 ft²
Let the width of the rectangle be x
So this means the length of the rectangle will be 3x - 5
What to find:
The dimensions of the rectangle.
Step-by-step solution:
Area of a rectangle = length x width
i.e A = L x W
Put A = 50, L = 3x - 5, W = x into the formula.
The quadratic equation can now be solve using factorization method:
Since the dimension can not be negative, hence the value of x will be = 5.
Therefore, the dimensions of the rectangle will be:
