ABC is a triangle, right-angled at C. If AB = 25 cm and AC = 7 cm, find BC.
Solution:
Given, ABC is a triangle, right-angled at C as shown below.
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.
☛ Related Questions:
- A 15 M Long Ladder Reached A Window 12 M High From The Ground On Placing It Against A Wall At A Distance A Find The Distance Of The Foot Of The Ladder From The Wall
- Which Of The Following Can Be The Sides Of A Right Triangle I 25 Cm 65 Cm 6 Cm Ii 2 Cm 2 Cm 5 Cm Iii 15 Cm 2cm 25 Cm
- A Tree Is Broken At A Height Of 5 M From The Ground And Its Top Touches The Ground At 12 M From The Base Of The Tree Find The Original Height Of The Tree
- Angles Q And R Of A Pqr Are 25o And 65o Write Which Of The Following Is True Ipq2 Qr2 Rp2 Iipq2 Rp2 Qr2 Iiirp2 Qr2 Pq2