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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

Answer Explanation:

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

  • Q #1: Which of the following is the median of the date set below? -6, 8, -4, 12, 1

    A. 8

    B. 1

    C. -4

    D. 12

    Answer Explanation

    The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.

    -6, -4, 1, 8, 12

    There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.

  • Q #2: A bag contains six green balls, three red balls, and five yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is red?

    A. ½

    B. 5/14

    C. 3/7

    D. 3/14

    Answer Explanation

    To find the probability of an event, we use the following the formula

    To find the probability of drawing the red ball, we need to find the total number of balls in the bag.

    Total number of balls in the bag=6+3+5=14 balls

    The probability of drawing a red ball from the bag is 3/14.

  • Q #3: Which of the following is the equivalence in pounds for 55 kg? (2.2 lb=1 kg)

    A. 82.2 lb

    B. 22.6 lb

    C. 121 lb

    D. 242 lb

    Answer Explanation

    We are asked to convert kg to pounds using the given relation. If we let x to represent the lb we are asked to find, we set the proportion equation with kg on numerator and lb on the denominator as follows.

    The equivalent value of 55kg is 121 lb.