A right triangle has legs of 3cm and 4cm. Find the Hypotenuse.
Hypotenuse is 5cm.
100
Side lengths of 6, 8, 10. Justify your answer.
YES, this is a right triangle. (6x6)+(8x8)=100. The square root of 100 is 10.
100
What is the length of the diagonal of a rectangle that measures 3ft by 4ft?
5 ft. Looking for the hypotenuse.
100
What is the sum of the measures of the interior angles of a triangle?
180 degrees.
100
3pi
Irrational
200
One leg of a right triangle is 5cm. The hypotenuse is 13cm. Find the length of the other side.
Leg is 12cm.
200
Side lengths of 6, 9, and 10. Justify your answer.
NOT a right triangle. (6x6)+(9x9)=117. The square root of 117 is approximately 10.8. 10.8 does not equal 10.
200
Mr. Richard has a small rectangular garden. The garden is 24 feet long and 18 feet wide. If he walks across the diagonal length of the garden, how much distance would he cover?
30 feet. Looking for the hypotenuse.
200
What is the compliment of an angle that measures 72 degrees?
The base of a right triangle is 9in. One side is 12in. What is the length of the longest side?
The hypotenuse is 15in.
300
Side lengths of 5, 12, and 13. Justify your answer.
YES, this is a right triangle. (5x5)+(12x12)=169. The square root of 169 is 13.
300
Mark is on his way home from work. He drives 35 miles due North and then 42 miles due West. Find the shortest distance he can cover to reach home early. Round your answer to the nearest tenth of a mile.
54.7 miles. Looking for the hypotenuse.
300
∠A and ∠B are supplementary angles. m∠A is 86 degrees. What is the m∠B?
The hypotenuse is 21mm. The base is 8mm. What is the length of the other side? Round your answer to the nearest whole number.
The other leg is approximately 19mm.
400
Side lengths of 5, √18, and 7. Justify your answer.
NOT a right triangle. (5x5)+(√18x√18)=25+18=43. The square root of 43 is approximately 6.6.
400
A flat screen television has a diagonal length of 44 inches. The base of the TV is 36 inches. What is the height of the television? Round your answer to the nearest whole number.
The height of the TV is approximately 25 inches.
400
∆ABC has the following interior angle measures: m∠A=20; m∠B=x+2; and m∠C=x. Find the value of x.
x=69. 40+x+2+x=180
400
18.1785343434...
Rational
500
The longest side of a right triangle is 24cm. A shorter side is 22cm. Find the length of the other side. Round your answer to the nearest whole number.
The other leg is approximately 10 cm.
500
Side lengths of √32, 9, and 7. Justify your answer.
YES, this is a right triangle. √32 is between 5 and 6. Therefore, the hypotenuse is 9. (√32x√32)+(7x7)=32+49=81. The square root of 81 is 9 and is the same length as the hypotenuse.
500
Find the area of a right triangle that has a leg of 9 in. and a hypotenuse of 15 in. Remember, the formula for the area of a triangle is A=(bxh)/2.
54 square inches. If the hypotenuse is 15, then the legs are 9 and 12. (9x12)/2=108/2 = 54.
500
Angle D and Angle F are congruent angles. The measure of Angle D is 3x+5. The measure of Angle F is 56. Find x.
x=17. Congruent means equal to. 3x+5=56.
500
5π÷5π
Rational. Any number divided by itself is 1 and 1 is a rational number.