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How do you construct a triangle in the same area as the triangle?

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How do you construct a triangle in the same area as the triangle?

Steps

  1. A straight line PQR parallel to base BC is drawn with the help of a ruler and a compass.
  2. B and C may be joined with any point on the line PQR to get a triangle equal in area of triangle ABC. Here ΔPBC,ΔQBC,ΔRBC are three triangles drawn , which are equal in area of ΔABC.

How do you find the area of a square in a right triangle?

Problems

  1. The sum of the areas of triangles BEC and BEA is equal to the total area of the right triangle which is (1/2)*40*30 = 600. Let x be the length of the side of the square, hence. Area of BEC = (1/2)*40*x = 20x.
  2. We now write an equation using total area and solve for x. 20x + 15x = 600. x = 120 / 7 = 17.1.
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How do you construct a triangle with sides 4cm 5cm and 6cm?

  1. Draw base AB of side 4cm.
  2. With A as centre , and 5cm as radius, draw an arc.
  3. With B as centre , and 6cm as radius ,draw an arc.
  4. Let C be the point where two points intersect.
  5. Join AC and BC.

How do you draw a regular Pentagon and then a triangle of the same area?

QUESTION- Draw a regular pentagon and then a triangle of the same area. calculate the area.

  1. Tan 36 = 2/h (Where h = apothem) h = 2/Tan 36.
  2. = 2.75. Area = (½ x 4 x 2.75) x 5.
  3. = 27.53 cm2. A triangle of the same area:
  4. Assume base of triangle = 4cm.
  5. Area = 1/2bh. 27.53 = ½ x 4 x h. 27.53 = 2h. h = 13.8 cm.

How do you solve a right-angled triangle?

Key Takeaways

  1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
  2. In a right triangle, one of the angles has a value of 90 degrees.
  3. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.
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How do you draw a triangle with sides 4cm 5cm and 7cm?

  1. DrawBC=4cm.
  2. Cut arc of 5 cm from B and arc of 7 cm from C. Mark point of intersection as A.
  3. Draw BD making an acute angle with BC. Mark 4 equal arcs on BD.
  4. Join B4 to C, draw a line B3C′ parallel to B4C.
  5. Draw a line C′A′ parallel to CA.

Can a triangle with side 6 cm 5 cm and 12cm be constructed?

We know that sum of any two sides of a triangle will always greater than the third side. So, we cannot construct a triangle with these measurements.

How to construct a right angled triangle in AutoCAD?

Let us construct a right-angled triangle ABC, right angled at C. Consider the length of the hypotenuse AB = 5 cm and side CA = 3 cm. The steps for construction are: Step 1: Draw a horizontal line of any length and mark a point C on it. Step 2: Set the compass width to 3 cm.

How do you find the area of a right angle triangle?

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When the sides of the triangle are not given and only angles are given, the area of a right-angled triangle can be calculated by the given formula: = (frac{bc times ba}{2}) Where a, b, c are respective angles of the right-angle triangle, with ∠b always being 90°.

What is the construction of right angle triangle?

Right Angled Triangle: Constructions (RHS) Construction of a right-angled triangle is possible when the Hypotenuse and one side from the remaining two sides are known to us. A right-angled triangle is a triangle which has one of its three angles equal to 90 degrees. The other two angles are acute angles.

How to construct a right angled triangle with a compass?

Constructions of Right-angled Triangle 1 Mark the points as P and A where the arcs cross the line. 2 Set the compass width to the length of the hypotenuse, that is, 5 cm. 3 Place the pointer head of the compass on point P and mark an arc above C.