HYPOTENUSE OF RIGHT ANGLED TRIANGLE

HYPOTENUSE OF RIGHT ANGLED TRIANGLE

Students` Learning Outcomes

  • Define hypotenuse of right angled triangle.

Information for Teachers

  • Closed figure consisting of three sides is called triangle.
  • The longest side of the triangle is called the “hypotenuse” of a triangle.
  • Right angle is an angle which is of 900.

  • In right angled triangles the side opposite to right angle is called hypotenuse (BC).

Material / Resources

Writing board, chalk / marker, duster, geometry box, chart, ruler, cutter, textbook

Introduction

  • Draw a right angled triangle on the board and name the three sides of triangle as written above.

 

  • Ask students following questions:

 

o   What is triangle?

o   What is a right angled triangle?

o   Can you observe which side of the triangle is the longest?

o   Which side of the right angled triangle is longest?

  • Tell the students that today we will learn about hypotenuse of right angled triangle.

Development

Activity 1

  • Trace the right angled triangle on the chart and cut the following shapes to make the students better understand about the hypotenuse.
  • Call a student and ask him to measure the three sides of triangle.

 

  • Write measurements of sides on the board.
  • Ask the students to tell which side is largest?
  • Now draw the square along sides of triangle and then tell them the side AB is the hypotenuse of triangle ABC.
  • Tell them the longest side of right angle triangle is called hypotenuse.
  • The longest side is opposite to right angle.
  • So in right angle triangle the side opposite to right angle is longest and called hypotenuse.
  • ‘A’ and ‘B’ are the other two sides of triangle.

 

Activity 2

  • Draw the “Rectangle ABCD” on the board and also draw diagonal AC
  • Ask the student that how many triangle are there? (Two)
  • Are they right angled triangles? (Yes)

 

  • Ask them which AB, BC, CA, AD and AC are longest? (AC is the longest)

 

 

  • Ask them is AC opposite to right angles, angle D and angle B (Yes)
  • Ask them what is the longest side of right angle triangle? (Hypotenuse)
  • Write hypotenuse along AC

 

Sum up / Conclusion

  • Recall the definition and process of finding hypotenuse.

 

  • o   From the three sides of right angled triangle, longest side is called the hypotenuse.
  • o   Right angled is an angle which is of 900.
  • o   Hypotenuse of any triangle having right angle (900) is called hypotenuse of right angled triangle.

 

Assessment

  • Draw a Rectangle PQRS and ask the students names of right angled triangles shown in the figure.
  • Ask which is the longest?
  • Ask what longest side is called?

 

  • Draw a right angle triangle and ask students to draw the same on their copies.

 

 

  • Make a table and ask the students to tick hypotenuse of triangle XYZ.

 

 

  • Take a round of the class and check the answer of each student.

 

Follow up

  • Assign following types of questions as homework to assess how much students learned regarding the topic.
  • Please indicate which is the hypotenuse of both right angled triangle ABC given below;

 

  • ABC and PQR are two right angled triangles. Please measure hypotenuse of both triangles and tell hypotenuse of which triangle is how much longer?

 

 

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