Page 65 - WCS - Electrical

19.44
=
h
5.4
h
5.4
= 7.2 m
= 7.2 m
13 Calculate the base of a right angled triangle having an
13 Calculate the base of a right angled triangle having an
area of 15 cm . If its height is 3.5 cm.
area of 15 cm . If its height is 3.5 cm.
2
1
= Area
x base x height unit
2
1
2
x base x height unit
= Area
2
2 What is the length of the hypotenuse of a right angled
2
triangle, when the sides containing the right angles
= 15
1 1 2 x b x 3.5 = 19.44 x 2 x 2 2 What is the length of the hypotenuse of a right angled
triangle, when the sides containing the right angles
x b x 3.5 = 15 are 10 cm and 12 cm.
2
2 are 10 cm and 12 cm.
x 15 2
WORKSHOP CALCULATION & SCIENCE - CITS
2
x 15 =
b
b = 3.5
3.5
= 8.57 cm
= 8.57 cm
Pythagoras theorem
Pythagoras theorem
Pythagoras theorem
In a right angled triangle the area of the square drawn with the hypotenuse as the side is equal to the sum of the
In a right angled triangle the area of the square drawn with
In a right angled triangle the area of the square drawn with
areas of the squares drawn with the other two sides.
the hypotenuse as the side is equal to the sum of the
the hypotenuse as the side is equal to the sum of the
areas of the squares drawn with the other two sides.
areas of the squares drawn with the other two sides.
As per pythagoras theorem,
As per pythagoras theorem,
AC 2 = AB + BC 2
2
AC 2 = AB + BC 2
2
= 10 + 12 2
2
= 10 + 12 2
2
= 100 + 144
= 100 + 144
= 244
= 244
AC = 244
AC = 244
= 15.62 cm
= 15.62 cm
3 Find the height of a right angled triangle whose base is
B∠ = 90º 3 Find the height of a right angled triangle whose base is
B∠ = 90º 15 cm and hypotenuse is 21 cm.
AC = Hypotenuse 15 cm and hypotenuse is 21 cm.
AC = Hypotenuse
AB & BC = Adjacent sides
AB & BC = Adjacent sides
As per pythagoras theorem,
As per pythagoras theorem,
AC 2 = AB + BC 2
2
AC 2 = AB + BC 2
2

2
∴ AC = AB + BC 2

2
∴ AC = AB + BC 2
1 Calculate the hypotenuse of a right angled triangle
1 Calculate the hypotenuse of a right angled triangle
whose base is 5 cm and height is 12 cm.
1 Calculate the hypotenuse of a right angled triangle whose base is 5 cm and height is 12 cm.
whose base is 5 cm and height is 12 cm.
As per pythagoras theorem,
As per pythagoras theorem, As per pythagoras theorem,
As per pythagoras theorem, As per pythagoras theorem,
AC 2 = AB + BC 2 AB + BC = AC 2
2
2
2
AC 2 = AB + BC 2 AB + BC = AC 2
2
2
2
= 12 + 5 2 AB + 15 2 = 21 2
2
2
= 12 + 5 2 AB + 15 2 = 21 2
2
2
= 144 + 25 AB 2 = 441 - 225
= 144 + 25 AB 2 = 441 - 225
= 169 = 216
= 169 = 216
AC = 169 AB =
AC = 169 AB = 216
216
= 13 cm = 14.7 cm
= 13 cm = 14.7 cm
WCS - Electrician & Wireman : (NSQF - Revised 2022) - 1 Year : Exercise 1.7.25 63
st
WCS - Electrician & Wireman : (NSQF - Revised 2022) - 1 Year : Exercise 1.7.25 63
st
52
CITS : WCS - Electrical - Exercise 5