Question

1.A right triangle has leg of b of length 7 and a hypotenuse of length 11. What is a length of the other leg, a? Round to the nearest tenth if necessary. (1 point)

A. 2.0
B. 8.5
C. 13.0
D. 9.6

2. Find the length of a line segment CD with endpoint C at (-3,1) and endpoint D at (5,6). Round your answer to the nearest tenth, if necessary. (1 point)

A 9.4
B 5.4
C 3.6
D 11.7

3.Find the midpoint of a segment FG with point F at (-6,4) and point G at (8,-2). (1 point)

A (-7,3)
B (7,-3)
C (1,1)
D (-1,-1)

Answer 1

1. In a right triangle, (Hypotenuse)^2 = (Base)^2+(Perpendicular)^2
(11)^2 = (7)^2 +a^2
121 = 49 + a^2
a^2 = 121-49
a^2 = 72
a = 8.48
2. Length of line segment CD = sqrt (x2 - x1)^2 + (y2 - y1)^2
= sqrt (5+3)^2 + (6-1)^2
= sqrt (64+25)
= sqrt 89
= 9.43
3. x- coordinate of midpoint= (x1+x2)/2
= (-6+8)/2
= 1
y-coordinate of midpoint= (y1+y2)/2
= (4-2)/2
= 1
Midpoint= (1,1)

I hope that helps.. :)

Answer 2

1.[7^{2} + x^{2} = 11^{2}
49 + x^{2} = 121
x^{2} = 72
x = 8.5

by the way [11^{2} is the hypotenuse

Answer 3

i'm only in 8th grade