SaiBook.us Geometry

Home Course Section

Register Enroll Refer

Lesson Example Discussion Quiz: Class Homework

Step-1

Title: Construction of Triangles (Based on angles)

Grade: 10-a Lesson: S3-L2

Explanation:

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	$1$ Construct a \$triangleABC\$ with the base as 6 units, \$angleA = 65°\$ and \$angleB = 70°\$.
2	Clue	Given \$triangleABC\$ with the base 6 units and \$angleA = 65°\$, and \$angleB = 70°\$
3	Step	Use a ruler and draw a horizontal line of length 6 units. Name the end points of this line as AB.
4	Step	Place the center of the protactor on A and look for 65° in the scale of the protactor and mark it as point C.
5	Step	Now, place the centre of the protactor on B ad look for 70° in the protactor.
6	Step	join AC and BC
7	Step	It should be note that the third angle , which is \$angleC\$ can be found using the angle sum property of triangle ,so \$angleC = 180 -(65+70) = 45°\$.

Step

Type

Explanation

Answer

Problem

$1$

Construct a \$triangleABC\$ with the base as 6 units, \$angleA = 65°\$ and \$angleB = 70°\$.

Clue

Given \$triangleABC\$ with the base 6 units and \$angleA = 65°\$, and \$angleB = 70°\$

Step

Use a ruler and draw a horizontal line of length 6 units. Name the end points of this line as AB.

Step

Place the center of the protactor on A and look for 65° in the scale of the protactor and mark it as point C.

Step

Now, place the centre of the protactor on B ad look for 70° in the protactor.

Step

join AC and BC

Step

It should be note that the third angle , which is \$angleC\$ can be found using the angle sum property of triangle ,so \$angleC = 180 -(65+70) = 45°\$.