The hypotenuse (side C) of a triangle is 13 inches long. Which of the following pairs of measurements could be the correct for the lengths of the other two sides of the triangle? (Note: A2 + B2= C2)
A. 5 inches, 12 inches
B. 2.5 inches, 6 inches
C. 2.5 inches, 4 inches
D. 5 inches, 8 inches
In this problem, we take the triangle as a right-angled triangle and label it as follows:
From the Pythagoras theorem A2 + B2= C2, we can look for a combination of A and B that when the squares of A and B are summed give a square of 13. Mathematically,
But C=13 inches
If we take A=5 inches and B=12 inches, then
Next, we take A=2.5 inches, B=6 inches
Next, we take A=2.5 inches, B=4 inches
6.25+16=169
22.25≠169
Taking A=5 inches and B=8 inches
From the above computation, the combination of A=5 inches and B=12 inches give a triangle with a hypothenuse of 13 inches.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: The graph below compares the age of car to its value. Which of the following is the age of the car when its value is $12,500?
A. Between 2 and 3 years
B. Less than 1 year
C. Greater than 3 years
D. Between 1 and 2 years
Answer Explanation
We extrapolate the values of a line between 10 and 15 on y-axis to meet the curve and drop another line from the intersection of the curve to meet the x-axis and read off the age of the car.
Now, let’s extrapolate in the following diagram
The intersection of the line and the x-axis is between 4 and 5 years. This means that the car is about 4.5 years old. From the options given, the age of the car is more than 3 years old.
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Q #2: To rent tablecloth from a rental vendor, there is an initial charge of $40. There is an additional charge of $5 per circular tablecloth (c) and $3.50 per rectangular tablecloth (r). Which of the following represents the total cost (T) to rent tablecloths?
A. 5r + 3.5c - 40 = T
B. 5c + 3.5r + 40 = T
C. 5c + 3.5r - 40 = T
D. 5r + 3.5c + 40 = T
Answer Explanation
From the given scenario:
Initial charge is $40
Additional charge per circular cloth=$5c
Additional charge per rectangular cloth=$3.50r
Total cost = additional charge per circular rectangular cloths + Initial charge
Total cost, T = 5c + 3.5r + 40
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Q #3: A local law school reports that 74% of last year's graduates are employed by law firms, 3% work for the government and 2% work for nonprofit organizations. The rest of the graduates work at jobs unrelated to law. Based on these outcomes, which of the following is the percentage of graduates working jobs unrelated to law?
A. 5%
B. 79%
C. 69%
D. 21%
Answer Explanation
Percentages always add up to 100%. If we let x be the percent of graduates working for jobs unrelated to law, then
74%+3%+2%+x=100%
79%+x=100%
Subtract 79% from both sides of the equation
79%-79%+x=100%
x=100%-79%
x=21%
So, the number of graduates working for jobs unrelated to law is 21%.
