Special right triangles
Key Notes :
In a 30°-60°-90° triangle:
The length of the longer leg is √3 times the length of the shorter leg.
The length of the hypotenuse is 2 times the length of the shorter leg.
Learn with an example
Find C ?
Write your answer in simplest radical form.
________ centimetres
Use the length of the shorter leg to find the length of the hypotenuse. Write an equation and solve.
hypotenuse = 2 shorter leg
c= 2.1 Plug in
c = 2 Multiply
So, c = 2 centimetres.
Find Z ?
Write your answer in simplest radical form.
________ millimetres
Use the length of the shorter leg to find the length of the hypotenuse. Write an equation and solve.
hypotenuse = 2 . shorter leg
Z = 2 . 1 Plug in
Z = 2 Multiply
So, z = 2 millimetres.
Find d? .
Write your answer in simplest radical form.
_________ Units
Use the length of the shorter leg to find the length of the hypotenuse. Write an equation and solve.
hypotenuse = 2 shorter leg
d= 2.2 Plug in
d = 4 Multiply
So, d = 4 units.
Let’s practice!
