Advertisement Remove all ads

Constructing a Quadrilateral When Three Sides and Two Included Angles Are Given

Advertisement Remove all ads

Topics

notes

Constructing a quadrilateral when three sides and two included angles are given:

1) Construct a quadrilateral ABCD, where AB = 4 cm, BC = 5 cm, CD = 6.5 cm and ∠B = 105° and ∠ C = 80°.

Solution:

We draw a rough sketch, as usual, to get an idea of how we can start off. Then we can devise a plan to locate the four points.

Step 1: Start with taking BC = 5 cm on B. Draw an angle of 105° along BX. Locate A 4 cm away on this. We now have B, C, and A.

Step 2: The fourth point D is on CY which is inclined at 80° to BC. So make ∠BCY = 80° at C on BC.

Step 3: D is at a distance of 6.5 cm on CY. With C as the center, draw an arc of length 6.5 cm. It cuts CY at D.

Step 4: Complete the quadrilateral ABCD. ABCD is the required quadrilateral.

If you would like to contribute notes or other learning material, please submit them using the button below.

Shaalaa.com | Drawing a quadrilateral with 3 sides and 2 angles

Shaalaa.com


Next video


Shaalaa.com


Drawing a quadrilateral with 3 sides and 2 angles [00:04:06]
S
Series: Constructing a Quadrilateral When Three Sides and Two Included Angles Are Given
0%


Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×