Explanation:
To find x we need to find the unknown side that connects the two triangles using the Pythagorean theorem:
a² + b² = c² (c is always hypotenuse)
So:
a² + 6² = 9²
a² = 9² - 6²
a² = 81 - 36
a² = 45
a = sqrt45
Now we do the same thing for the other triangle:
x² + 5² = sqrt45²
x² + 25 = 45
x² = 20
x = 2√5 or 4.5...
You have to put 17cm on the other side and then multiply to get the answer
This requires the pythagorean theorem :
a^2 + b^2 = c^2...where a and b are the legs and c is the hypotenuse..and by the way, this can only be used on right triangles
a^2 + b^2 = c^2
6^2 + 7^2 = c^2
36 + 49 = c^2
85 = c^2...take the sqrt of both sides, eliminating the ^2
sqrt 85 = c
9.22 = c....so the hypotenuse is approximately 9.22 units (thats rounded)