Question

Find the missing length.

= ✓ [?]
C=
С
6
11
Pythagorean Theorem: a2 + b2 = c2
Enter

Answer 1

The missing length of the triangle is: c = √157

How to use Pythagoras Theorem?

Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle.

The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a² + b² = c²

Using Pythagoras theorem, we have:

c = √(11² + 6²)

c = √157

Answer 2

The value of the third side c = 12.52

Explanation:

Step(i):-

Given thatΔABC is a right angle triangle

AB = a = 6

BC = a =11

Find AC = ?

Step(ii):-

By using Pythagorean theorem

AC² = AB²+BC²

⇒ c² = 6² +11²

⇒ c² = 36 +121

⇒ c² = √157

c = 12.52

The value of the third side c = 12.52