Question

ABC is a triangle right angled at c if ab is equal to 25 cm and ac is equal to 7 cm find BC.
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Answer 1

Step-by-step explanation:

Since it is a right triangle, we can use Pythagorean Theorem. It states that given a right triangle, the sum of the squares of the legs are equal to the square of the hypotenuse.

So in this case,

BC^2 + AC^2 =AB^2

BC^2= AB^2 - AC^2

Plugging in the values,

BC^2 = 25^2 - 7^2

BC^2= 625- 49

BC^2= 576

BC= 24

Hope this is helpful for you.

Answer 2

Answer:

By Pythagoras theorem

$AB ^{2} = AC ^{2} + BC ^{2} \\ {25}^{2} = 7 ^{2} + x ^{2} \\ {x}^{2} = {25}^{2} - {7}^{2}x \\ x = 625 - 49 \\ x = \sqrt{576 } \\ x = 24$

So, BC = 24cm is your answer