Question

abc is a triangle right angle at c if ab=25cm and ac=7cm find bc​

Answer 1

Step-by-step explanation:

By Pythagoras theory

ab^2=ac^2+bc^2

25^2 =7^2+bc^2

625=49+bc^2

625-49=bc^2

576=bc^2

$\sqrt{} 576$=bc

24=bc

Answer 2

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

☛ Check: NCERT Solutions for Class 7 Maths Chapter 6

Video Solution:

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

NCERT Solutions for Class 7 Maths Chapter 6 Exercise 6.5 Question 2

Summary:

ABC is a triangle right angled at C. If AB = 25 cm and AC = 7 cm, BC is equal to 24cm.

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