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ASA Triangle ConstructionCovid19 has led the world to go through a phenomenal transition . Elearning is the future today. Stay Home , Stay Safe and keep learning!!! ASA Triangle ConstructionTo construct a triangle when two of its angles,say B and C, and the included side BC are given,we proceed as follows : Step 1 : Draw a line segment BC. Step 2 : Draw ∠CBX of measure equal to that of ∠B. Step 3 : Draw ∠BCY with Y on the same side of BC as X, such that its measure is equal to that of ∠C. Let BX and CY intersect at A. Then, ΔABC is the required triangle. Example Construct a ΔABC in which BC = 6 cm, ∠B = 35 ^{0} and ∠C = 100 ^{0} . Step 1 : Draw a line segment BC = 6 cm. Step 2 : Draw ∠CBX, such that ∠CBX = 35 ^{0} Step 3 : Draw ∠BCY with Y on the same side of BC as X such that ∠BCY = 100 ^{0} Step 4 : Let BX and CY intersect at A. ΔABC is the required triangle. ________________________________________________________________ 1) If we have PQ = 5 cm, ∠PQR= 115° and ∠QRP = 30°, can we construct a ΔPQR with these measurements? 2) State true or false: In ΔABC, the side included between ∠B and ∠C is AB. 3) Construct ΔABC in which BC=6 cm, ∠B = 35 ^{0} and ∠C = 100 ^{0} . Measure ∠A. 4) In ΔABC, BC = CA. Which of its two angles are equal ? 5) If m∠A=70 ^{0} ,AB= 5cm and m∠B=60 ^{0} which rule is used here to construct triangle ABC? 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 Covid19 has affected physical interactions between people. Don't let it affect your learning.
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