Question

Help me once again please :)

Answer 1

c

Explanation:

The longest side is hypotenuse.

Using Pythagorean theorem:

c² = a² + b²

16² = 8² + (8√3)²

256 = 256 True, so it is a right triangle.

Short leg = 8, long leg = 8√3

For 30-60-90 right triangle:

short leg = hypotenuse/2 = 16/2 = 8 , true:

long leg = short leg*√3 = 8√3, true.

Answer 2

C. 30-60-90

Explanation:

the ratio for a 3-6-9 triangle is x, 2x, x√3

if x=8, then 2x=16, and x√3 =8√3

it's not A because it is a right angle triangle.

it's not B because the ratio for an isoceles triangle is x:x:x√2. since a and b are not the same value, it can be assumed that it is not the answer