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 . | |
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 = .
Step 3 : Cut off RP = 6 cm.
Step 4 : Join P and R. Now we get the required ΔPQR.
If the two legs of a right angled 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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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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If one angle is the average of the other two angles and the difference between the greatest and least angles is , then the triangle formed is: | |||
Right Option : C | |||
View Explanation |
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