Question

1. question 1. the pythagoras theorem relates:

a) the three angles of a triangle.

b) the three sides of a right triangle.

c) the area of a triangle to its sides.

d) the perimeter of a triangle to its angles.

1. question 2. in a right triangle, the side opposite the right angle is called the:

a) adjacent side.

b) opposite side.

c) hypotenuse.

d) median.

1. question 3. the sine of an angle in a right triangle is the ratio of:

a) opposite side to the hypotenuse.

b) adjacent side to the hypotenuse.

c) opposite side to the adjacent side.

d) hypotenuse to the adjacent side.

1. question 4. if the two shorter sides of a right triangle are equal in length, the triangle is:

a) isosceles.

Explanation:

1. Pythagoras theorem defines the relationship between the three sides of a right triangle, stated as $a^2 + b^2 = c^2$ where $c$ is the longest side.
2. The side opposite the right angle in a right triangle is the longest side, specifically named the hypotenuse.
3. By definition, the sine of an acute angle in a right triangle is the ratio of the side opposite the angle to the hypotenuse.
4. A triangle with two sides of equal length is classified as an isosceles triangle; this applies to the two shorter equal sides of the right triangle.

Answer:

1. b) The three sides of a right triangle.
2. c) Hypotenuse.
3. a) Opposite side to the hypotenuse.
4. a) Isosceles.