The shorter sides of an acute triangle are x cm and 2x cm. the longest side of the triangle is 15 cm. what is the smallest possible whole-number value of x? a. 6 b. 7 c. 8 d. 9

Correct choice is B

Step-by-step explanation:

A triangle can be formed with three segments of lengths a, b and c if

If the shorter sides of an acute triangle are x cm and 2x cm, then

Thus,

You get possible values for x:

If triangle is acute, then by the cosine law

The smallest possible whole-number value of x is 7.

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.