## If the difference in the side lengths of two squares is 10 and the sum of the side lengths is 18 what are the side lenghts

October 14, 2019// Blog//

**Answer: The correct option is **

**(C) The triangle is not acute because 2² + 4² < 5².**

**Step-by-step explanation: **We are to select** the statement that best explains the type of the triangle having lengths of three sides as 2 inch, 5 inch and 4 inch.**

We know that a triangle with side lengths a, b and c (c > a, b)is

**(i) an acute-angled if a² + b² > c², and**

**(ii) an obtuse-angled if a² + b² < c².**

For the given triangle,

** a = 2 inch,** **b = 4 inch** and **c = 5 inch.**

**So, we have**

**Since,**

**so the given triangle is not acute, but obtuse.**

**Thus, the triangle is not acute because 2² + 4² < 5².**

**Option (C) is correct.**