Question

The options for 1. are | 3,500 | 86 | 7,400 | 120 | The options for 2. are | Angle B is a right angle | Angle A is a right angle | Triangle ABC is not a right triangle | Angle C is a right angle | The options for 3. are x = | _/41 | _/56 | _/72 | _/89 | ‘y=‘ has the same options as ‘x=‘ The answer options are roots so I put a underscore and a dash to try to look like it.The options for 4. are | 6 | 4 | 5 | 8 |( Please give me a explanation for each problem to learn how to solve them with the answers as well, thank you.) (I also divided each answer options apart so you don’t get confused.) *THIS IS NOT GRADED*

Answer 1

3)

Answer:

x = √41

y = √89

Step-by-step explanation:

The figure consist of a small right triangle and a larger right triangle. We would apply Pythagorean theorem to both triangles. It is expressed as

hypotenuse^2 = one leg^2 + other leg^2

Considering the smaller triangle,

hypotenuse = x

one leg = 5

other leg = 4

Thus,

x^2 = 5^2 + 4^2 = 25 + 16 = 41

x = √41

Considering the larger triangle,

hypotenuse = y

one leg = 5

other leg = 4 + 4 = 8

Thus,

y^2 = 5^2 + 8^2 = 25 + 64 = 89

y = √89