Question

In AABC, ABC = 90°& AB² + BC²= 289. Find the length of
hypotenuse AC.​

Answer 1

Given:

• Sum of squares of side making right angle is 289.

To Find:

• What is the length of hypotenuse ?

Solution: 

Let ABC be a right angled triangle at B in which

AB = Perpendicular

BC = Base

AC = Hypotenuse

∠ABC = 90°

Pythagoras Theorem : It states that sum of the squares of two side containing the right angle is always equal to square of the third side i.e hypotenuse.

Applying Pythagoras Theorem in ∆ABC

★ H² = B² + P² ★

⟹ AC² = AB² + BC²

⟹ 289 = AB² + BC²

⟹ 289 = AC²

⟹ √289 = AC

⟹ √17 × 17 = AC

⟹ 17 = AC

________________________

Hence, the length of hypotenuse of triangle is 17 cm.

________________________

Answer 2

Answer:

AB2+BC2= AC2

289= AC2

17=AC

2 is exponent