Question

ABC is a triangle, right-angled at B, if
AB = 10 cm and BC = 24 cm, find AC.

NEED STEP BY STEP EXPLANATION ​

Answer 1

To Find :-

• The length of AC.

Solution :-

• Length of AB = 10 cm

• Length is of BC = 24 cm

In ΔABC, m∠ABC = 90°

According to the Pythagoras theorem,

● AC² = AB² + BC²

[ Put the values ]

↪ AC² = 10² + 24²

↪ AC² = 100 + 576

↪ AC² = 676

↪ AC = ±√676

↪ AC = -26 cm OR AC = 26 cm

[ Note :- Ignoring negative term ]

↪ AC = 26 cm

Therefore,

↪The length of AC is 26 cm.

For information:

• Statement :- In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

• Formula :- (Hypotenuse)² = (Perpendicular)² + (base)².