A rhombus has 25-cm sides, and one diagonal is 14 cm long. How long is the other diagonal?
1 answer:
Let's visualize this problem (See the picture below). The red line represents the diagonal that is 14 cm, the green sides represent the 25-cm sides, and the yellow line represents the diagonal that we need to find. From this, you can see that the Pythagorean Theorem can be applied to this problem (Since the diagonals are perpendicular)
a^2+b^2=c^2
14^2+b^2=25^2
196+b^2=625
b^2=429
b=20.71 (approximate)
:)
a^2+b^2=c^2
14^2+b^2=25^2
196+b^2=625
b^2=429
b=20.71 (approximate)
:)
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Answer:
Step-by-step explanation:
For it to be a parallelogram, opposite sides have to be of same length.
- OL = NM, and
- ON = LM
Using the expressions given, we can make 2 equations:
<u>Equation 1:</u>
<u>Equation 2:</u>
<em>Solving equation 2, we have x:</em>
<em>Plugging this value of x into equation 1, we can solve for y:</em>
So,