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

It is given in the question that,

AB = 25 cm

Also,

AC = 7 cm

We have to find BC

We know that,

According to Pythagoras theorem,

In a right angled triangle:

(Hypotenuse)^{2} = (Perpendicular)^{2} + (Base)^{2}

By applying Pythagoras theorem in ABC, we get:

(AB)^{2} = (AC)^{2} + (BC)^{2}

(BC)^{2} = (AB)^{2} - (AC)^{2}

(BC)^{2} = (25)^{2} – (7)^{2}

(BC)^{2} = 625 – 49

(BC)^{2} = 576

Hence,

QR =

QR = 24 cm

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