SaiBook.us Geometry

Home Course Section

Register Enroll Refer

Lesson Example Discussion Quiz: Class Homework

Step-4

Title: Construction of Triangles (Based on angles)

Grade: 10-a Lesson: S3-L2

Explanation:

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	$4$ Construct a \$triangleSTU\$ in which \$angle T = 45°\$ , \$angle U = 105°\$ and TU = 9.3 cm.
2	Clue	Given \$triangleSTU\$ with the base 9.3 cm and \$angleT = 45°\$, and \$angleU = 105°\$
3	Step	Use a ruler and draw a horizontal line of length 9.3 cm. Name the end points of this line as TU.
4	Step	Place the center of the protactor on T and look for 45° in the scale of the protactor and mark it as point S.
5	Step	Now, place the centre of the protactor on U ad look for 105° in the protactor.
6	Step	join ST and SU
7	Step	It should be note that the third angle , which is \$angleS\$ can be found using the angle sum property of triangle ,so \$angleS = 180 -(45+105) = 30°\$.

Step

Type

Explanation

Answer

Problem

$4$

Construct a \$triangleSTU\$ in which \$angle T = 45°\$ , \$angle U = 105°\$ and TU = 9.3 cm.

Clue

Given \$triangleSTU\$ with the base 9.3 cm and \$angleT = 45°\$, and \$angleU = 105°\$

Step

Use a ruler and draw a horizontal line of length 9.3 cm. Name the end points of this line as TU.

Step

Place the center of the protactor on T and look for 45° in the scale of the protactor and mark it as point S.

Step

Now, place the centre of the protactor on U ad look for 105° in the protactor.

Step

join ST and SU

Step

It should be note that the third angle , which is \$angleS\$ can be found using the angle sum property of triangle ,so \$angleS = 180 -(45+105) = 30°\$.