Your first two answers are right.
I don't know the answer for 4.
8 cm
21 cm
15 cm****
225 cm
2)The length of the hypotenuse of a right triangle is 13 cm. The length of one leg is 5 cm. Find the length of the other leg. (1 point)
14 cm
144 cm
8 cm
12 cm***
4.Point E is located at (–2, 2) and point F is located at (4, –6). What is the distance between points E and F?
a. square root of 52
b. square root of 28
c. 10***
d. square root of 20
I don't know the answer for 4.
For the first question, we have a right triangle with legs of 9 cm and 12 cm. To find the length of the hypotenuse, we can use the formula:
hypotenuse^2 = leg1^2 + leg2^2
Substituting the given values:
hypotenuse^2 = 9^2 + 12^2
hypotenuse^2 = 81 + 144
hypotenuse^2 = 225
Taking the square root of both sides to solve for the hypotenuse:
hypotenuse = square root of 225
Therefore, the length of the hypotenuse is 15 cm.
For the second question, we have a right triangle with a hypotenuse of 13 cm and one leg of 5 cm. Again, we can use the Pythagorean theorem to find the length of the other leg.
Using the same formula:
hypotenuse^2 = leg1^2 + leg2^2
Substituting the given values:
13^2 = 5^2 + leg2^2
169 = 25 + leg2^2
144 = leg2^2
Taking the square root of both sides to solve for the other leg:
leg2 = square root of 144
Therefore, the length of the other leg is 12 cm.
For the third question, we can use the distance formula to find the distance between points E and F in a coordinate plane.
The distance formula is given by:
distance = square root of ((x2 - x1)^2 + (y2 - y1)^2)
Substituting the given coordinates:
distance = square root of ((4 - (-2))^2 + (-6 - 2)^2)
distance = square root of (6^2 + (-8)^2)
distance = square root of (36 + 64)
distance = square root of 100
Therefore, the distance between points E and F is 10 units.