draw a rhombus of side 5cm and one of the angle is 40 degrees draw a triangle of the same area
please help
Answers
Answer:
ans is 42 method is down
Step-by-step explanation:
Answer:
One side of 5 cm length and one angle of 50° measure are given.
Step -1: Draw a line segment AB of length 5 cm.
Step-2: Draw another line AP such that angle PAB = 50°. Cut off AD = 5 cm from AP.
Step-3: Taking centre at B and D, draw two arcs each of radius 5 cm - that cut one another at point C.
Thus, ABCD is the rhombus having each side of length 5 cm and angle 50°.
Step-4: Connect diagonals AC and BD of the rhombus. Let, AC = m and BD = n.
We know, diagonals of a rhombus are perpendicular bisectors. Area of the rhombus = {(1 / 2) * m * n}. Thus, if we draw a right angled triangle with perpendicular sides of m and n long; area of that right angled triangle equals the rhombus.
Step-5: Draw a line segment PQ = m. Now, draw another straight line at P, PL such that PL is perpendicular to PQ. Cut off PR = n from PL. Join QR to get a right angled triangle PQR, whose perpendicular sides are PQ (= m) and PR (= n).
Area of the right angled triangle PQR = area of the rhombus ABCD.