A = (1/2)base*height
Since this is an equilateral triangle each side is 34 inches, the altitude bisects the base into two 17 inch segments
There is now a right triangle with a base of 17 inches and a hypotenuse of 34 inches, so the pythagorean theorem (a^2 + b^2 = c^2) can be used
17^2 + b^2 = 34^2
or b^2 = 34^2 - 17^2
b^2 = 867 (take the square root of both sides)
b = 17
so the height of the equilateral triangle is 17
A = (1/2)(34)(17
)
A = 500.56 square inches
The answer is A you can find this doing the distance formula
Answer:
You will need 1400 cm² of paper
Step-by-step explanation:
When you wrap a gift, you wrap around the entire object. We need to find the total surface area of the prism. A rectangular prism has two rectangular faces on the end. The area of one of those faces is Height (of the prism) times Width.
Rectangular prisms also have 4 sides which are composed of rectangles. The area of one of those rectangles is length (of the prism) by the width.
Now we just need to sum up all of those areas.
Answer:
x = 8.7
Step-by-step explanation:
The triangles are congruent, which means that the sides are proportional to each other. Line DE and line BE are proportional to each other. This means that:
8 = 12
We can simplify this down to
2 = 3
Now that we have this proportion we can apply it to Lines AE and EC
2(13) = 3x
26 = 3x
8.67 = x
Therefore x is equal to 8.67 (or 8.7 rounded)
Check:
8/12 = 0.6667
8.6667/13 = 0.6667
Since both are the same, the answer is correct.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Answer:
QR = 4.6 ft
Step-by-step explanation:
By applying tangent rule in the given triangle PQR,
tan(62°) =
=
QR =
QR = 4.573
QR ≈ 4.6 ft