Question

Given below are the lengths of the side of triangle ABC in each case state whether triangle ABC is right angled or not :-

i)AB=40cm,BC=58cm,CA=44cm
ii)AB=43cm,BC=35cm,CA=12cm
iii)AB=55cm,BC=73cm,CA=48cm​

Answer 1

$\bold{ANSWER≈}$

Given, ABC is a triangle, right-angled at C as shown below.

ABC is a triangle, right-angled at C. If AB = 25 cm and AC = 7 cm, find BC

So, we can apply the Pythagoras theorem here, if it is right-angled at C then the side opposite to C will be the hypotenuse of the triangle that is AB = 25 cm, and the other two sides are AC = 7 cm and BC.

Now, by applying the Pythagoras theorem i.e. in a right-angled triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides, we can find BC.

AB = 25 cm, AC = 7 cm and BC =?

In triangle ACB, By Pythagoras theorem, (Hypotenuse)2 = (Perpendicular)2 + (Base)2

(AB)2 = (AC)2 + (BC)2

(25)2 = (7)2 + (BC)2

625 = 49 + (BC)2

(BC)2 = 625 – 49

(BC)2 = 576

BC = 24 cm

Thus, BC is equal to 24cm

Answer 2

Answer:

Step-by-step explanation:

Given below are the lengths of the side of triangle ABC in each case state whether triangle ABC is right angled or not :-

i)AB=40cm,BC=58cm,CA=44cm

ii)AB=43cm,BC=35cm,CA=12cm

iii)AB=55cm,BC=73cm,CA=48cm​