Answer:
the perimeter of the triangle is 10.2ft (option A)
Explanation:
Given:
A triangle with two angles and a side opposite one of the angles is given
To find:
the approximate length of the vinyl needed
The triangle is right-angled and isosceles as the base angles are equal. To get the approximate length of the vinyl needed, we will be assuming the whole triangle is the table top and vinyl will cover the whole of it
We will use Pythagoras theorem to get the longest side:
Hypotenuse² = opposite² + adjacent²
The two legs are equal since the base angles are equal
opposite = adjacent = 3 ft
Hypotenuse² = 3² + 3²
Hypotenuse² = 9 + 9 = 18
Hypotenuse = √18
Hypotenuse = 4.24
The perimeter of the triangle = Length of the outer edges of the tabletop
The perimeter of the triangle = 3ft + 3ft + 4.24 ft = 10.24 ft
From the options, the perimeter of the triangle is 10.2ft (option A)
