Question

Find the dimensions of a triangle if the base is (2/3) the measure of the height and the area is 12 square centimeters.

Answer 1

ohhh I like your avatar. Nyan cat! Back on topic.... Area of triangle is A=(1/2b) *h

Answer 2

my bad. A= 1/2*b*h

Answer 3

so plug in 12 for A.

Answer 4

base = 2/3 * height
Area = 1/2 * base * height
Area = 1/2 * 2/3 * height * height = 12
height^2 = 36
height = 6
base = 4

Answer 5

ok. The formula for area of a triangle is (1/2)*base*height.
if b [base] is 2/3 of h [height], then we can write b=(2/3)h
so then the area, 12, is equal to (1/2)(2/3)h*h
which is (2/6)h^2, or (1/3)h^2
and, doing some algebra, the height is 6, so the base is 4.

Answer 6

Step 1. A=1/2*b*h
Step 2. 12=1/2*b*h
Step 3. 24=b*h (muliply by 2 on both sides)
Step 4. You know that base is 2/3 of height so you can express as: b = 2/3* h. Plug this in.
Step 5. 24=2/3*h*h
Step 6. 36= h ^2
Step 7. h = 6

Answer 7

in step 6 I just mulitplied both sides by 3/2

Answer 8

No medals. No thanks.

Answer 9

i found the area and the base but it says to find the dimensions so am i done?

Answer 10

and height

Answer 11

yes! :D

Answer 12

dimensions means the base, the height, and area is already given :]. but you also need the 3rd side of the triangle.

Answer 13

Dimensions in this case means both base and height. 3 people showed you how to get both.

Answer 14

In this case, I think the dimensions are base and height.

Answer 15

just use 3,4,5. The special right triangle...I think you can use it in this case...not sure. Been a while since I had math

Answer 16

ok ty everyone TACTICAL MEDAL INBOUND

Answer 17

or you can use pythag's theorem.
a^2=b^2+c^2

Answer 18

oh shoot don't listen to that last comment it is a^2+b^2=c^2

Answer 19

silly me

Answer 20

Please don't forget the 3rd side of the triangle! A triangle has 3 sides!!! base and height won't be sufficient dimensions