Pythagoras Flashcards
1
Q
Pythagoras theorem
A
In any right angled triangle, the square of the hypotenuse is equal to the the sum of the squares of the the other sides
2
Q
FORMULA
A
c^2 = a^2 + b^2
3
Q
find the hypotenuse if the other two sides are 10 and 8
A
c^2 = a^2 + b^2 c^2 = 10^2 + 8^2 c^2 = 100 + 64 c = √164
4
Q
a^2 = 5^2 + 4^2
A
a^2 = 25 + 16 a = √41 = 6.4
5
Q
an aircraft flies 120km due north. It then flies 85km due west. Calculate the direct route
A
d^2 = 120^2 + 85^2 d^2 = 14400 + 7225 d = √21625
6
Q
the hypotenuse of one triangle is 6. The other side is 3. Calculate side x
A
x^2 = 6^2 - 3^2 x^2 = 36 - 9 x = √27
7
Q
converse of pythagoras theorem
A
if (longest side)^2 is equal to the sum of the squares it must be a right angle triangle
