Cumulative Standards Review
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Using the area of △ ABC, find NA and MC. Is NA the height of △ CNM?
3.5 in.
To find the area of △ CNM, we will need to follow quite a few steps.
We are told that CN is a median, which implies that N is the midpoint of BA. Now, since BN=2 in, we get that NA=2 in and then BA=4 in.
The height of the triangle is 4inches.
1/b* a = a/b
a/b=.a /2./.b /2.
.LHS /2.=.RHS /2.
Similar to the thought process above, since BM is a median, M is the midpoint of AC. Using the fact that AC=7 in, we get that MC=3.5 in. Let's take a look at an isolated view of △ CNM.
The base length of this triangle is 3.5inches.
Looking at the isolated view of the triangle, we can see that the height is the length of NA, which we found to be 2in. Finally, we can use the formula for area of a triangle one more time to find our final answer. 1/2* CM* NA =& Area [0.8em] 1/2* 3.5* 2 =& 3.5 in.