Question

A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply. The triangle is isosceles. The leg-to-hypotenuse ratio is 1:. The leg-to-hypotenuse ratio is 1:. The nonright angles are congruent. The ladder represents the longest length in the triangle.

Answer 1

The following are correct about the triangles formed by the ground, wall and ladder.

• The triangle is isosceles
• The nonright angles are congruent.
• The ladder represents the longest length in the triangle.

If a 12 foot ladder is leaning against a wall with the base distance from the base of the wall to the base of the ladder is 6\sqrt{2} feet.

The set up as described in the question is a right angle with the following characteristics;

The length of the ladder is the hypotenuse

Get the length of the leg using the pythagoras theorem.

$d {}^{2} = 12^{2} - (6 \sqrt{2} ) {}^{2} \\ d {}^{2} = 12^{2} - 72 \\ {d}^{2} = 72 \\ d = 6 \sqrt{2}$

We can wee that the leg and the base distance are the same, this shows that the triangle is isosceles.

Since the triangle is isosceles, hence the base angles are also congruent i.e. the non right angles are congruent.

Learn more here: brainly.com/questions/14374661

Answer 2

Answer:

1,2,4,5,

The triangle is isosceles.

The leg-to-hypotenuse ratio is 1:StartRoot 2 EndRoot.

The nonright angles are congruent.

The ladder represents the longest length in the triangle.

Step-by-step explanation: