Question

Use the Pythagorean theorem to find the missing length in the following right triangle.

Answer 1

Hello there!


The Pythagorean Theorem is:

a² + b² = c²

We have b = 48 and c = 50

Remember: The hypotenuse is always longer.

a² + 48² = 50²

a² + 2304 = 2500

a² = 2500 - 2304

a² = 196

a = √196

a = 14

The missing length is 14.

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Answer 2

the missing length is 14 unit.

Explanation:

Using the Pythagorean Theorem: For right angle triangle,

Sum of the squares of the two side = Square of longest side i.e,

a² + b² = c² ......[1]

In the given right triangle:

we are given the measurements for the hypotenuse, c = 50 unit, and one leg, b= 48 unit.

The hypotenuse is always opposite the right angle and it is always the longest side of the triangle.

To find the length of leg a:

Putting the values of b and c in equation [1];

`a^2+(48)^2=(50)^2` or

`a^2+2,304=2500` or

`a^2=2500-2304 = 196` unit

∴
`a= √(196)`

⇒ a= 14 unit

Therefore, the missing length a is , 14 unit