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Lesson Example Discussion Quiz: Class Homework

Step-2

Title: Construction of Triangles (Based on angles)

Grade: 10-a Lesson: S3-L2

Explanation:

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	$2$ Construct a \$triangleXYZ\$ with the base as 7.5 cm, \$angleX = 50°\$ and \$angleY = 95°\$.
2	Clue	Given \$triangleXYZ\$ with the base as 7.5 cm, \$angleX = 50°\$ and \$angleY = 95°\$.
3	Step	Use a ruler and draw a horizontal line of length 7.5 cm. Name the end points of this line as XY.
4	Step	Place the center of the protactor on X and look for 50° and draw a ray 'XP'.
5	Step	Now, place the centre of the protactor on Y ad look for 95° and draw a ray 'YQ' such that it intersects with 'XP'. Mark the point of intersection as 'Z'.
6	Step	join points ZX and ZY to make the triangle complete and form an obtuse \$triangleXYZ\$.
7	Step	It should be note that the third angle , which is \$angleZ\$ can be found using the angle sum property of triangle ,so \$angleZ = 180 -(95+50) = 35°\$.

Step

Type

Explanation

Answer

Problem

$2$

Construct a \$triangleXYZ\$ with the base as 7.5 cm, \$angleX = 50°\$ and \$angleY = 95°\$.

Clue

Given \$triangleXYZ\$ with the base as 7.5 cm, \$angleX = 50°\$ and \$angleY = 95°\$.

Step

Use a ruler and draw a horizontal line of length 7.5 cm. Name the end points of this line as XY.

Step

Place the center of the protactor on X and look for 50° and draw a ray 'XP'.

Step

Now, place the centre of the protactor on Y ad look for 95° and draw a ray 'YQ' such that it intersects with 'XP'. Mark the point of intersection as 'Z'.

Step

join points ZX and ZY to make the triangle complete and form an obtuse \$triangleXYZ\$.

Step

It should be note that the third angle , which is \$angleZ\$ can be found using the angle sum property of triangle ,so \$angleZ = 180 -(95+50) = 35°\$.