The area of a parallelogram is 276 cm^2. The sum of its bases is 46 cm. Each slanted
side measures 13 cm. What is the height.
Possible answers:
13 cm
46 cm
12 cm
23 cm
The area of a parallelogram is equal to one-half the height times the sum of the
bases. We know the area (276 cm^2) and the sum of the bases (46 cm). That being
said:
A = (1/2h) (46)
276 = (1/2h) X 46 (divide each side by 46)
6 = (1/2h) (multiply each side by 2)
12 = h
The height of the parallelogram is 12 cm.
Pikestown is 36 km directly west of Queenstown and 48 km directly south of
Riverton. Which is the length of the road that runs straight from Queenstown to
Riverton?
Possible answers:
84 km
60 km
360 km
12 km
Normally I would try to workout the problem, but I can’t seem to grasp this concept.
If possible could you help me understand? I am willing to work I just need some
directions.
Triangle PTG has side lengths of 18 cm, 27 cm, and 13 cm. Which type of triangle is
triangle PTG?
Possible answers:
Obtuse
Acute
Right
Isosceles
18^2 = 324
27^2 = 729
13^2 = 169
324 + 729 > 169
169 + 729 > 324
169 + 324 < 729
When the sum of the squares on two sides of a triangle is less than the square
on the third side, then the triangle is obtuse.
What is the distance, in units, between (-5, 8) and (4, -4) in the coordinate plane?
When I first looked at this problem I though about the distance formula below.
Possible answers:
225
15
4.1
17
So I tried it:
d = square root (4 + 5)^2 + (-4 + 8)^2
d = square root 9^2 + 4^2
d = square root 81 + 16
d = square root 97
It was at this point that I began to realize that my intial idea wasn’t correct. Even if
you took the square root of 97 you would get 9.848857… Again I want to
understand, but there is something I’m missing.