In a 30°- 60°- 90° right triangle, the longer leg is 4 times the square root of 3 cm. how long are the other two sides of the triangle?

If by longer leg, you mean the LONGEST LEG = 4 * sq root (3)

the other 2 sides = .5 * (4 * sq root (3)) = 2 * sq root (3) AND

(sq root (3) / 2) * 4 * sq root (3) = 3 * 4 / 2 = 6

Source: 1728.com/trig2.htm

Step-by-step explanation:

Answers

Short leg = 4 cm

hypotenuse = 8 cm

Explanation

The longer leg should be opposite to 60°.

∴ tan 60° = (4√3)/short leg

short leg = (4√3)/tan60°

               = (4√3)/1.732

               = 4

To get the hypotenuse;

sin 60° = (4√3)/hypotenuse

hypotenuse = (4√3)/sin 60°

                    = (4√3)/0.8660

                      = 8

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

step-by-step explanation: