In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?

Hypotenuse  = 10 cm.

Step-by-step explanation:

Given : In a 30-60-90 triangle when the shorter leg is 5 cm.

To find  : What is the length of the hypotenuse.

Solution : We have given a 30-60-90 triangle

By the 30-60-90 triangle rule :

The hypotenuse is equal to twice the length of the shorter leg.

The longer leg is equal to multiplying the shorter leg by the square root of 3.

Hence ,  hypotenuse =  twice the length of the shorter leg.

Hypotenuse = 2 * 5 = 10 cm

Therefore,  Hypotenuse  = 10 cm.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116