Maths-
General
Easy
Question
List the sides of △ 𝐷𝐸𝐹 from shortest to longest
Hint:
- In triangle, the angle opposite to largest side is largest.
- In triangle, the side opposite to largest angle is largest.
The correct answer is: In △ABC, Sides shortest to longest are FD, DE, EF.
Step by step explanation:
Given: In △ABC
∠EDF = 110o
∠DFE = 42o
∠FED = 28o
Step 1:
Find all sides.
In △ABC,
∠EDF > ∠DFE > ∠FED
side opposite to ∠EDF is EF.
side opposite to ∠DEF is DF.
side opposite to ∠FED is FD.
As,
∠EDF > ∠DFE > ∠FED
(We know that, in triangle, the side opposite to largest angle is largest.)
∴ EF > DE > FD
Hence, in △ABC, sides shortest to largest are
FD, DE, EF
Final Answer:
In △ABC, Sides shortest to longest are FD, DE, EF.
Step 1:
Find all sides.
In △ABC,
side opposite to ∠EDF is EF.
side opposite to ∠DEF is DF.
side opposite to ∠FED is FD.
As,
(We know that, in triangle, the side opposite to largest angle is largest.)
Hence, in △ABC, sides shortest to largest are
FD, DE, EF
Final Answer:
In △ABC, Sides shortest to longest are FD, DE, EF.
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