Question

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

Answer 1

Answer is 7 on edg. Just took the quiz, and got it correct.

Explanation:

Answer 2

for an acute angled triangle

h^2 < x^2 + y^2 where h = longest side and x and y are the other 2 sides.

so here we have

15^2 < x^2 + (2x)^2

15^2 < 5x^2

x^2 > 15*3 = 45
x > sqrt 45 or x > 6.7

So smallest whole number value of x is 7