How do you construct a triangle given its base a base angle and difference of other two sides?

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How do you construct a triangle given its base a base angle and difference of other two sides?

To construct a triangle, given its base, a base angle and the difference of other two sides

  1. Obtain the base, base angle and the sum of the other two sides.
  2. Draw the base BC.
  3. Draw ∠XBC of measure equal to that of ∠ABC.
  4. From ray BX, the cut-off line segment BD equal to the difference of the other two sides (AB – AC).

Can you construct a triangle whose perimeter is 12cm and the ratio of its sides is 1 ratio 2 ratio 3?

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Hence, ΔABC is the required triangle whose sides are in the ratio 1 : 2 : 3 and having perimeter 12 cm.

How do you construct a triangle given the perimeter and altitude?

Procedure: Draw a line AB equal to half the perimeter. From B erect a perpendicular and make BC equal to the altitude. Join A to C and bisect AC. Locate D and make DB= BE and complete triangle.

How do you justify the construction of a triangle?

Justification of Construction: We can justify the construction by showing ABC as an equilateral triangle i.e., AB = BC = AC = 5 cm and ∠A = ∠B = ∠C = 60°. In ΔABC, we have AC = AB = 5 cm and ∠A = 60°. From equations (1) and (2), ΔABC is an equilateral triangle.

How do you construct a triangle given two sides?

diagram

  1. Draw the base BC and at the point B make an angle, say XBC equal to the given angle.
  2. Cut a line segment BD equal to AB + AC from the ray BX.
  3. Join DC and make an angle DCY equal to BDC.
  4. Let CY intersect BX at A.
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How do you construct a triangle given the perimeter?

Steps of Construction: Step 1: Draw a line segment XY such that XY = AB + BC + CA (i.e. perimeter of triangle ABC) and draw the angle lines at X and Y such that ∠LXY = ∠B and ∠MYX = ∠C. Step 2: Draw the angle bisectors of ∠LXY and ∠MYX and let them meet at A.

How do you construct a triangle given its perimeter and its two base angles?

The steps of construction are:

  1. Draw a line segment XY of length equal to AB + AC + BC, that is, 15 cm.
  2. From point X, using the protractor construct ∠LXY which is equal to ∠B, that is, 55°.
  3. From the point Y, construct ∠MYX which is equal to ∠C, that is, 60°.
  4. Using the compass, construct the bisectors of ∠LXY and ∠MYX.

How do you construct a right triangle whose base is 12cm and sum of its hypotenuse and other side is 18cm?

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Steps Of Construction:

  1. Draw a line segment AB = 12cm.
  2. Draw a ray AX making right angle with AB.
  3. Cut a line segment AD of length 18 cm from ray AX.
  4. Join BD and make an angle DBY equal to ADB.
  5. Let BY intersect AX at C. Join AC and BC.
  6. Triangle ABC is the required triangle.

Is it possible to construct a triangle given its base a base angle and?

To construct a triangle given its base, a base angle and the difference of the other two sides, a perpendicular bisector needs to be drawn. Q3. For constructing a triangle with a given base, a base angle and difference between the other two sides, a ___ bisector is required.