Find the length of the midsegment to the nearest tenth 31.0 70.0 35.0 16.7

Mathematics

1 answer:

avanturin [10]3 years ago

3 0

Answer:

35.0 units

Step-by-step explanation:

we know that

A mid-segment of a triangle is a segment connecting the midpoints of two sides of a triangle. This segment is always parallel to the third side, and the length of the mid-segment is half the length of the third side

$6x+5=\frac{1}{2}(3x+55)$

solve for x

$12x+10=3x+55\\12x-3x=55-10\\9x=45\\x=5$

Find the length of the mid-segment

substitute the value of x

$6(5)+5=35.0\ units$

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