What is the area of an isosceles right triangle with hypotenuse 6 √ 2?
Answer:
Since its a right isosceles triangle we have from Pythagoras’ theorem
that
a 2 + a 2 = ( 6 √ 2 ) 2 ⇒ 2 a 2 = 36 ⋅ 2 ⇒ a = 6
Hence the triangle has sides 6 , 6 , 6 √ 2
Using Heron formula we can calculate the Area
A = √ s ⋅ ( s − a ) ⋅ ( s − b ) ⋅ ( s − c )
where s = a + b + c / 2
a,b,c the sides of the triangle
isosceles right triangle
Read more: How to convert 200 km to miles?