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HL Triangle ConstructionHL Triangle Construction (RHS triangle Construction) : 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 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 RHS Triangle Construction 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 = 90 ^{0} . Step 3 : Cut off RP = 6 cm. Step 4 : Join P and R. Now we get the required ΔPQR. ________________________________________________________________ 1) If the sides of triangle are 3cm,4cm and 5cm then what type of triangle you will get after constructing it? 2) Construct a right angled triangle ABC where AB = 4.5 cm, AC = 5.8 cm and angle A = 90 ^{0} . 3) In a triangle PQR, if ∠P=90 ^{0} and ∠Q= ∠R, find the angles of the triangle . Geometrical Constructions • Basic Geometric Constructions • Construction of Line Segment • Bisecting a Line Segment • Constructing Angles • Bisecting Angles • Constructing Parallel Lines • Construction of Triangle (SSS) • SAS Triangle Construction • ASA Triangle Construction • HL Triangle Construction (Rhs construction) • Constructing Quadrilaterals • Constructing Triangles(when sum of sides or perimeter is given) 7th grade Math Home Page
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