Construction of Triangle using RHS Criteria


 
 
Concept Explanation
 

Construction of Triangle using RHS Criteria

Construction of Triangle using RHS Criteria: A triangle is said to be a right triangle, if one of its three angles is a right angle.

To construct a right triangle ABC right angled at C when its hypotenuse is AC and one side is BC is given, we follow the following steps :

Step 1 : Draw a line segment BC of given length.
Step 2: Draw ∠BCX of measure large 90^0.

Step 3 : With center B and radius equal to the hypotenuse AB,

draw an arc of the circle to intersect ray CX at A.

Step 4 : Join BA to obtain the required triangle ABC.

Example: Construct a right triangle PQR in which ∠Q = 90 0 , PR = 6 cm and QR = 4 cm.

Step 1: Draw QR = 4 cm.

Step 2 : Using compass, at Q draw ∠RQK = large 90^0.

Step 3 : Cut off RP = 6 cm.

Step 4 : Join P and R. Now we get the required ΔPQR.

Sample Questions
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Question : 1

If the two legs of a right angled Delta le are equal and the square of the hypotenuse is 100 then the length of each leg is

Right Option : B
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Question : 2

The length of the hypotenuse of a right angled triangle whose two legs measure 12 cm and 0.35 m is _____________

Right Option : A
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Explanation
Question : 3

If one angle is the average of the other two angles and the difference between the greatest and least angles is large 60^0, then the triangle formed is:

Right Option : C
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Explanation
 
 
 
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