the sides of a rectangle are 25 cm and 8 cm. what is the measure, to the nearest degree, of the angle formed by the short side a
nd a diagonal of the rectangle?
1 answer:
Answer:
72°
Step-by-step explanation:
The lengths 25 cm and 8 cm are the sides of the rectangle.
See the attached diagram of rectangle ABCD.
Now, let us assume the diagonal AC makes x° angle with the shorter side BC i.e.∠ BCA = x°
So, using trigonometry we can write
⇒ degrees ≈ 72 degrees {Rounded to nearest degree} (Answer)
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Answer:
(c) 9, 24, 26
Step-by-step explanation:
If you're familiar with Pythagorean triples, you may recognize that 10-24-26 is a doubling of the common 5-12-13 triple seen in many problems. That means the triple 9-24-26 cannot be a right triangle.
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The "form factor" of f = a^2 +b^2 -c^2, where c is the longest side length, can signal the kind of triangle it is. f=0 indicates a right triangle (values satisfy the Pythagorean theorem). When there are a lot of numbers to try, I like to let a calculator or spreadsheet do the math. (See attached).
As indicated above, the 9-24-26 triple cannot be a right triangle. For f < 0, it will be an obtuse triangle.
Answer:
<em>The triangle and trapezoid area formulas have One-half in them.</em>
<em>In the trapezoid formula, the bases are added.</em>
Step-by-step explanation:
<em>Topic: Plane Shapes</em>
Basically, the requirement of the question is to compare area of shapes. The shapes are
- Trapezoid
- Triangle
- Parallelogram
- Rectangle
The Area of a Trapezoid is where a and b are the bases of the trapezoid and h is the height
The Area of a Triangle is where b and h are the base and the height of the triangle respectively
The Area of a Parallelogram is where b and h are the bases and the height of the parallelogram
The Area of a Rectangle is where l and b are the length and the breadth of the triangle respectively
Checking option a through e
A. The triangle and trapezoid area formulas have One-half in them.
True; Area of a Triangle is while Area of a Trapezoid is
B. The parallelogram and rectangle formulas are both the same.
False; Area of a Parallelogram is while Area of a Rectangle is
C. In the parallelogram formula, the bases are added.
False; The basis are not added
Area of a Parallelogram is
D. In the trapezoid formula, the bases are added.
True; Area of a Trapezoid is
E. In the triangle formula, the sides are added, then multiplied by One-half.
False; Area of a Triangle is