Question

Find x in the right triangle

Answer 1

C

Explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 7² = 14²

x² + 49 = 196 ( subtract 49 from both sides )

x² = 147 ( take square root of both sides )

x =
`√(147)`

Answer 2

C. √147

Explanation:

Set the values of the triangle up in the Pythagorean Theorem.

a² + b² = c²

x² + 7² = 14²

Take 7 and 14 to the power of 2.

x² + 49 = 196

Subtract 49 from both sides.

x² = 147

Take the square root of both sides. There will only be one answer since lengths cannot be negative.

x = √147