Question

The hypotenuse of a 45°-45°-90° triangle measures units.

What is the length of one leg of the triangle?

7 units
units
14 units
units

Answer 1

14 StartRoot 2 EndRoot units

Explanation:

Answer 2

lets assume length of leg is x

then apply Pythagoras theorem
`a^(2)\dotplus b^(2)= c^(2)`

7^{2}\dotplus x^{2}= 14^{2}

14^{2}-7^{2}=x^{2}

\sqrt{14^{2}-7^{2}}=x

12.12=x

Explanation:

IN THIS WE USE Pythagoras theorem
`a^(2)\dotplus b^(2)= c^(2)`

`\dotpl7^(2)\dotplus x^(2)= 14^(2)`