Which of the following is the length of the unknown leg of a right triangle that has one leg length of 10 feet and a hypotenuse of 14 feet? (Round to the nearest tenth.)
A. 6 feet
B. 15.6 feet
C. 9.8 feet
D. 20 feet
The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows.
The value of x is found as:
The value of the unknown leg side of a triangle is about 9.8 feet.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: To determine the cost of a phone, the seller considers the brand name, size of the RAM, and size of the battery. Which of the following is the dependent variable?
A. Cost of a phone
B. Brand name
C. Size of the RAM
D. Size of the battery
Answer Explanation
A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change in brand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.
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Q #2: A recipe calls for 3.4 teaspoons of milk. 1 teaspoon equals approximately 5 mL. Which of the following is the correct amount of milk in mL?
A. 16.8 mL
B. 17.0 mL
C. 10.5 mL
D. 6.8 mL
Answer Explanation
we are asked to find the amount of milk in mL using the given information.
If we let x represent the amount of milk in mL, we set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.
A recipe of 3.4 teaspoons is equal to 17.0 mL.
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Q #3: A circle has an area of 81π in2. Which of the following is the circumference of the circle in terms of pi ( π)?
A. 4.5 π in
B. 14 π in
C. 18 π in
D. 9 π in
Answer Explanation
we need to find the circumference of the circle from the given area.
The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:
Substituting the value of area in the above equation becomes
Dividing both sides by pi and taking square root on both sides yields
Now, we know the radius of circle to be 9 in, the circumference of the circle becomes,
in.
