Question

# A right triangle has leg lengths of 4 inches and 5 inches. What is the length of the hypotenuse side? Write the answer as a square root and round to the nearest tenth of an inch.

Hint:

### Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

If a is the perpendicular, b is the base, and c is the hypotenuse, then according to the definition, the Pythagoras Theorem formula is given as

c2= a2 + b2

## The correct answer is: the length of the hypotenuse is 6.40 inches

### Here, Length of perpendicular(a) = 4 inches

Length of base(b) = 5 inches

Let’s say that the hypotenuse is d

Using Pythagoras theorem

d^{2} = a^{2} + b^{2}

d^{2} = 4^{2} + 5^{2}

d^{2} = 41

d = inches = 6.40 inches

Final Answer:

Hence, the length of the hypotenuse is 6.40 inches.

^{2}= a

^{2}+ b

^{2}

^{2}= 4

^{2}+ 5

^{2}

^{2}= 41

Final Answer:

Hence, the length of the hypotenuse is 6.40 inches.

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