construct a triangle pqr in which pq =8cm angle R=60° and the median rg from r to pq is 5.8cm
Answers
Answer:
Ldkiya sirf
Step-by-step explanation:
Emf-xxcj-cqz ajao sex k liye
Answer:
Step-by-step explanation:
Base AB = 5cm Median CM to the base = 4cm & vertical angle <C = 60°
Steps: 1: Draw a ray & cut segment AB = 5 cm
2: Construct BAD = 60° at point A on AB.
3: At A on AD , construct a perpendicular.
4: Now, draw perpedicular bisector of AB, which intersects the perpendicular of previous step at O
5: Taking O as centre & OA radius, draw a circle. This circle passes through A& B. And AD will be the tangent to this circle. Because radius OA is perpendicular to AD.
6 : M as centre, & 4 cm radius draw an arc, which cuts the arc of major segment at C
7: Join A,C & B,C.
ABC is the required triangle..
Justification: < DAB = 60° , which is formed by chord AB & tangent AD to the circle,
=> <DAB = < ACB = 60°. ( by alternate segment theorem, which states that angle formed by a tangent to the chord = angle formed by the chord at the alternate segment of the circle. And here we have constructed median AM = 4cm & AB = 5 cm..