In a given triangle ABC, a=BC, b=AC, and c=AB where ABC are angle measurements of the triangle. Can you prove that the following inequality is true? Moreover, is there any maximum value of the fraction in the center of the inequality?

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewest6 1

_+ 64 1

__+ 52 1

_+ 32 2

__+ 44 1

__+ 52 0

+ 20 – Kayu Kaou · 3 years, 9 months ago__Log in to reply

6v1 4v1 2v1 2v2 4v1 2v0 – Kayu Kaou · 3 years, 9 months ago

Log in to reply

Brilliant's physics problems this week are all about the hyperloop, a new high-speed transportation system proposed by inventor Elon Musk. The hyperloop is a tube through which capsules move at a top speed of 1,220 kilometers per hour (760 miles per hour). Our problems explore some of the technical challenges it faces as well as the benefits it provides. – Kayu Kaou · 3 years, 9 months ago

Log in to reply

Since 24 = 8 * 3, the sum of the digits must be = 0 (mod 3), which is satisfied by the fact that the sum of the digits must be 24. Therefore, we ignore this condition, so now we need the smallest n = 0 (mod 8 ), whose sum of digits = 24. We clearly – Kayu Kaou · 3 years, 9 months ago

Log in to reply

Determine the smallest integer that is divisible by 24 and has digit sum equal to 24. – Kayu Kaou · 3 years, 9 months ago

Log in to reply

Brilliant user Tan asks if it is possible to convert a 4-dimension space to a 3-dimension space in the same way we can convert our 3-dimension world into a 2-dimension map.

6 box – Kayu Kaou · 3 years, 9 months ago

Log in to reply

This week, we continue our study of Group Theory with a guest post by Chu-Wee Lim on Lagrange's Theorem.

H=4 – Kayu Kaou · 3 years, 9 months ago

Log in to reply

INDONESIA, makassar. abdui,karim – Kayu Kaou · 3 years, 9 months ago

Log in to reply