Constructing a Triangle when Three Sides are Given
Construct Δ D...
Question
Construct Δ DEF such that DE = 5 cm, DF = 3 cm and ∠ EDF = 90∘
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Solution
To Construct: Δ DEF where DE=5cm, DF=3cm and ∠ EDF = 90∘
Steps of construction:
(a) Draw a line segment DF=3cm.
(b) At point D, draw an angle of 90°with the help of compass i.e., ∠ XDF = 90∘
(c) Taking D as center, draw an arc of radius 5cm, which cuts DX at the point E.
(d) Join EF.
It is the required right angled triangle DEF.