Question

Which triangle is a 30-60-90 triangle?¿
Help!!(:

Answer 1

30-60-90
The hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.

answer
A) first one
5, 5sqrt3 legs and hypo 10

Answer 2

Option 1st.

Explanation:

Definition: 30-60-90 triangle

In 30-60-90 triangle,

the length of the hypotenuse is twice the length of the shorter leg, and

the length of the longer leg is
`√(3)` times the length of the shorter leg.

We have to find from the given triangles which triangle is a 30-60-90 triangle

Consider the length of shorter leg = 5 units

then by above definition we have;

Length of the hypotenuse = 2(5) = 10 units

and

Length of the longer leg =
`√(3) \cdot 5 = 5√(3)` units

Therefore, the only triangle which is a 30-60-90 triangle is, option 1st