Question

sketch the right triangle and find the length of the side not given. (each length is in units.) leg = 4, leg = 7.5. determine the correct sketch of the right triangle for the given problem. choose the correct answer below. options: a. right triangle with vertical leg 4, horizontal leg 7.5, right angle. b. right triangle with horizontal leg 4, hypotenuse 7.5, right angle. c. triangle with side 4, base 7.5 (not right). d. triangle with sides 4 and 7.5 (not right).

Explanation:

Step1: Identify the right triangle

A right triangle has two legs (the sides forming the right angle) and a hypotenuse (the side opposite the right angle). The given legs are 4 and 7.5. So the right angle should be between these two legs. Let's analyze the options:

• Option A: The legs are 4 and 7.5 (the two sides with the right angle), which matches the given legs.
• Option B: The hypotenuse is labeled 7.5, but we know both given sides are legs, so this is incorrect.
• Option C: This is not a right triangle (no right angle symbol), so incorrect.
• Option D: This is not a right triangle (no right angle symbol), so incorrect.

Step2: Confirm the correct sketch

Since the two given sides are legs (they form the right angle), the correct sketch should have the right angle between the sides of length 4 and 7.5, which is Option A.

Answer:

A. (The triangle with legs 4 and 7.5 forming the right angle)