Question

Triangle abc is a right triangle if side ac=5 and side ab=10 what is the measure of side bc

Answer 1

Measure of bc is 5√3

Explanation:

Given right angled triangle ABC

ac = 5

ab = 10

We know that according to Pythagoras Theorem

Perpendicular² + Base² = Hypotenuse²

then ac² + bc² = ab²

i.e. 5²+ bc² = 10²

25 + bc² =100

subtracting both sides by 25

25 + bc² -25 = 100 -25

bc² = 75

bc =5√3

Thus the measure of side bc is 5√3