Let analyse the given book shelf mathematically.
i) The plan EF is fixed parallel to base AB.
If GE: EA = 1:3, find the length of plank EF, given AB = 5 feet.
ii) Explain the mathematical concept involved.
iii) Given AC/BD = AX/CY and the planks AG and BG are equally inclined to AB. Is ∆ACX similar to ∆DYB? Justify.
iv) Given GC = GD and AG = BG. Is CD//AB.
Answers
Answer:
iv) Given GC = GD and AG = BG. Is CD//AB.
Step-by-step explanation:
this is right ans plzz like my ans
Given : The plan EF is fixed parallel to base AB.
GE: EA = 1:3 AB = 5 feet
To Find : length of plank EF
Solution:
in Δ GEF & Δ GAB
∠G = ∠G ( common)
∠GEF = ∠GAB ( corresponding angles)
∠GFE = ∠GBA ( corresponding angles)
=> Δ GEF ≈ Δ GAB
GE/GA = EF/AB
GE: EA = 1:3
=> GE / GA = 1/4
EF/AB = 1/4
=> EF = AB/4
=> EF = 5/4 feet
length of plank EF = 1.25 feet
= 1 feet 3 inches
mathematical concept involved. is similar triangle have corresponding sides in same ratio.
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