Philipinebrainidn
Answered

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construct a triangle with 65° angle and height of 20 cm?



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Sagot :

Alexyzzzzizidn

Answer:

To construct a triangle with a 65° angle and a height of 20 cm, you can follow these steps. This construction assumes that the height is drawn from the vertex opposite the given angle to the base of the triangle. Here's how you can do it:

Materials Needed:

Compass

Protractor

Ruler

Pencil

Paper

Steps:

1. Draw the Base:

Start by drawing a horizontal line on your paper. This will be the base of your triangle. You can choose any length for the base to start with.

2. Mark the Vertex:

Use your protractor to measure and mark a 65° angle from one end of the base. Let's call this point A. The point on the base where the protractor is centered will be point B.

3. Draw the Angle:

From point B, draw a line at a 65° angle using the protractor. This line will eventually intersect with the perpendicular line representing the height.

4. Draw the Height:

Using a compass and a ruler, measure 20 cm. From point A, draw a perpendicular line to the base, which will be the height of the triangle. Mark the endpoint of this line as point H.

5. Complete the Triangle:

The line you drew in Step 3 should intersect with the perpendicular line (height) at some point. Mark this intersection as point C.

6. Connect the Points:

Connect point A to point C. Then, connect point C to point B. You now have triangle ABC with ∠ABC = 65° and height from A to BC being 20 cm.

This method constructs a triangle where one angle is exactly 65°, and the perpendicular height from the opposite vertex to the base is 20 cm. You can adjust the length of the base according to your requirements before completing the steps.

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