The triangle is a special 30°–60°–90° triangle, so the sides are in the ratio 1:√3:2.
Let x be the shortest side, then the hypotenuse is 2x. Given that the hypotenuse is 16, we have 2x = 16, so x = 8.
The perimeter of the triangle is the sum of the three sides: 8 + 8√3 + 16 = 24 + 8√3
Therefore, the correct response is 24 + 8√3.
he length of the hypotenuse of a 30°–60°–90° triangle is 16. What is the perimeter? (1 point) Responses 64 + 8 64 + 8 Image with alt text: Square root 3 24 + 8 24 + 8 Image with alt text: Square root 3 16 + 64 16 + 64 Image with alt text: Square root 3 8 + 24 8 + 24 Image with alt text: Square root 3
1 answer
1 answer