Question

RST is an equilateral triangle; . If RT = 8, then TX =

Answer 1

Answer:

$TX=4\sqrt{3}\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

An equilateral triangle has the three equal sides

so

RT=TS=RS

In this problem we have

$RT=8\ units$

In the right triangle RTX

Applying the Pythagoras Theorem

$TX^{2}=RT^{2}-RX^{2}$

we have

$RT=8\ units, RX=RS/2=4\ units$

substitute

$TX^{2}=8^{2}-4^{2}$

$TX^{2}=48$

$TX=\sqrt{48}\ units$

$TX=4\sqrt{3}\ units$

Answer 2

The answer on Odysseyware is 4root3