A right triangle has a base of 8 and a hypotenuse of 10. Find its area________?
Show answer Hide answer
Answer: D. 24
Explanation
The height follows from Pythagoras: the square root of 100 minus 64 is 6. The area of a right triangle is half the base times the height, which is half of 8 times 6, or 24. The hypotenuse is never one of the two sides multiplied together, which is the mistake the other options encode.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. The average age of 15 students is 15 years. If 5 students average 14 years and 9 others average 16 years, what is the age of the 15th student____________?
Show answer Hide answer
Answer: A. 11 years
The total cumulative age of all fifteen students is determined by multiplying the overall average. Subtracting the subgroup age sums from the total yields the specific age of the final student. The resulting age calculat...
Q2. A test score mean was 52. The top 20% averaged 80, and the bottom 25% averaged 31. What is the mean score of the remaining 55%___________?
Show answer Hide answer
Answer: C. 51.4 approx.
Total score sum for all students is calculated using the overall mean of 52. Subtracting the score sums of the top and bottom groups leaves the remaining points. Dividing the remaining score sum by the remaining student...
Q3. A class of 16 boys averages 50.25 kg, and the remaining 8 boys average 45.15 kg. Determine the average weight of all boys.
Show answer Hide answer
Answer: C. 48.55 kg
Multiplying sixteen boys by their average weight yields a total mass of eight hundred four kilograms. Multiplying eight boys by their average weight yields a total mass of three hundred sixty one point two kilograms. Div...
Q4. The mean of 20 numbers is zero. At most, how many of them can exceed zero?
Show answer Hide answer
Answer: D. 19
The mean of twenty numbers is zero, which means the mathematical sum of all twenty numbers must equal zero. To maximize the count of positive numbers, the remaining numbers must be made as negative as possible. Setting n...
Q5. What is the area of a triangle with a 4m base and a 5m height?
Show answer Hide answer
Answer: B. 10 sq m
The formula for a triangle's area requires multiplying one half by the base and height. Multiplying four meters by five meters and dividing by two gives the correct numerical product. The calculated area equals exactly t...
Q6. The cost price of 10 pens equals the selling price of 12 pens. Calculate the gain or loss percentage?
Show answer Hide answer
Answer: C. 16 2/3% loss
Equating the cost of 10 pens to the selling price of 12 pens establishes a price ratio. The selling price to cost price ratio evaluates to 5 over 6. A cost price of six units and selling price of five units represents a...