Given the measurements; 6 cm, 10 cm, 17m. Check if three measurements can form a angle
1 answer:
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Answer:
Option (c) is correct.
The approximate total area of the plastic triangles on the spinner is 2 × 3.9 square centimeters = 7.7 square centimeters
Step-by-step explanation:
Given:A spinner for a board game consists of a cardboard circle with two plastic arrows anchored to its center. The arrows are congruent isosceles triangles connected at their bases.
also, Given: The base of each triangle measures 2 centimeters and the perimeter of each triangle is 10 centimeters.
We have to find the approximate total area of the plastic triangles on the spinner.
Perimeter of triangle is the sum of sides.
Since given the triangle to be isosceles .
Let the two equal side be x cm, then,
Perimeter of given triangle = 1 0
⇒ x + x + 2 = 1 0
⇒ 2x = 8
⇒ x = 4
Thus, side of triangle is 4 cm.
Now we find the area of isosceles triangle.
We first find the height, using Pythagoras theorem,
Putting values, we get,
Solving we get,
Thus, area of one isosceles triangle
area of one isosceles triangle
On solving we get,
Approximate area of one plastic triangles on the spinner is 3.9 square centimeters.
Thus, the approximate total area of the plastic triangles on the spinner is 2 × 3.9 square centimeters = 7.7 square centimeters
Option (c) is correct.
Here, we can split this parallelogram into two triangles and one rectangle. The triangles are equal to each other so we can just find the area of the rectangle and the are of <span>one triangle.
</span>Triangle area formula:
, where a = area, b=base, and h=height.
Plug in 5 for b and 11 for h:
<span>Multiply by 2!
</span>
Rectangle area formula: a=bh, where a = area, b = base, and h = height.
Plug in 4 for b and 11 for h.
a = 4 x 11
a = 44
44+55 = 99
Area is 99 cm<span>².</span>
</span>Triangle area formula:
Plug in 5 for b and 11 for h:
<span>Multiply by 2!
</span>
Rectangle area formula: a=bh, where a = area, b = base, and h = height.
Plug in 4 for b and 11 for h.
a = 4 x 11
a = 44
44+55 = 99
Area is 99 cm<span>².</span>