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

Question

asked Jun 12, 2020 59.6k views

2 Answers

Regi · Answer 1 · 2020-06-18T04:24:09+0000

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
$a^(2)\dotplus b^(2)= c^(2)$

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