In TVW if VW is three meters longer than TV, TW is 20 meters shorter than the sum of VW and TV, and the perimeter of TVW is 74 m
eters, find the length of VW.
PLEASE EXPLAIN STEPS!!!
PLEASE EXPLAIN STEPS!!!
1 answer:
Answer:
The length of VW is
Step-by-step explanation:
we know that
The perimeter of triangle TVW is equal to
we have
so
-----> equation A
----> equation B
----> equation C
substitute equation B in equation C
----> equation D
substitute equation B and equation D in equation A
solve for TV
Find the value of VW
----->
Find the value of TW
----->
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Answer: The missing length is 120 {option C}
Step-by-step explanation: What we have in the question is a triangle placed on top of another triangle and as shown in the attached diagram we can separate them into triangles BFC and GFH.
A close observation shows that line BC is parallel to line GH. Hence we have two similar triangles, and we can determine their similarity ratios as follows;
BF/FC = GF/FH
Similarly BF/BC = GF/GH
We can also express the following ratio
FC/FH = BC/GH
Therefore to calculate the missing side, which is GF, we can use the ratio
FC/FH = FB/FG
30/100 = 36/FG
By cross multiplication we now have 30 (FG) = 100 (36)
30FG = 3600
Divide both sides of the equation by 30
FG = 120
