trec is a rectangle. what is the length of et? 10 units 17 units 20 units 34 units
trec is a rectangle. what is the length of et? 10 units 17 units 20 units 34 units
Answer
Explanation:
Step1: Use rectangle property
In a rectangle, the diagonals are equal. So, $2x - 3=x + 7$.
Step2: Solve for x
Subtract x from both sides: $2x-x-3=x - x+7$, which gives $x-3 = 7$. Then add 3 to both sides: $x=7 + 3=10$.
Step3: Find length of diagonal
Substitute $x = 10$ into either diagonal - expression. Using $x + 7$, we get $10+7=17$. Since $ET$ is half of a diagonal and the diagonals are equal in a rectangle, and the length of a diagonal is 17 (from our calculation), the length of $ET$ is 17 units.
Answer:
17 units