the lengths of the two sides of a triangle are 6cm and 8cm. between which two numbers van length of the third side
fall.
Answers
Answer:
Between 14 and 2. (14 > x > -2)
Step-by-step explanation:
Well we know that in order for this shape to be a triangle, any two given side lengths have to have a sum greater than the remaining side length. NOTE: HAS TO BE GREATER THAN. NOT EQUAL TO. We can write inequalities to find this. Let x be the side length we don’t know. 6 + 8 > x. 6 + x > 8. x + 8 > 6. Now just solve these inequalities like you would with an equation. Isolate the variable. The first inequality tells us that x is less than 14, so write 14 > x. The next inequality tells us that x is greater than 2. Add that to the range you wrote before, like so: 14 > x > 2. Now, Remember to do the third inequality, which leads you to x > -2. Obviously, we can’t have a negative side length, so that’s out of the picture, leaving you with the equation you had before, 14 > x > -2 as your answer. Another way to look at this is through number lines. Make a number line, and then find the area where all 3 inequalities overlap and you’ll have your answer. Hoped this help.