Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Geometry - Pythagoras' Theorem - basic concepts.
Test Yourself 1.


 

All the triangles in the following questions are right-angled.

Remember the hypotenuse is the side opposite the right angle
so start by writing down that pronmeral or value first and then squaring it.

Basic relationships 1.

Put all into your calculator in one action.

 2.

  3.

4.

 

5.

6.

 

7.

8.

 

9.

10.

Test for a right angle.

REMEMBER:

The hypotenuse of a right angled triangle is always the longest side. So use the squares of the other two numbers.

11.

12.

 

13.

14.

Test if a triad 15. Does the set of three numbers
{14, 18, 23} form a Pythagorean triad?


16. Is the set of numbers
{6, 3, 4} a Pythagorean triad?


  17. Is it correct to describe the numbers {120, 150, 90} as forming a Pythagorean triad?


18. Does the set of three numbers
{64, 48, 80} form a Pythagorean triad?


Applied questions 19.

20.

 

21.

22.

 

23.

24.

152 = 7.52 + h2

h = 13.0 cm.
 

25.

In the top triangle, let the height be x cm and the part of the diagonal be 7.5 cm.

Remember: the diagonals of a rhombus bisect each other at right angles.

26.

 

27.

28.

  29.

30.

Old classics.

Q31: Taken from the Chinese manuscript "Arithmetic in Nine Sections" written in the Han period (206 BC - 222 AD).		 31.
Q32: Taken from a question posed about 630 AD by the Hindu mathematician Brahmagupta. 32.