Let's check or verify each option so that we can get a measurement that would mean the right triangle has a hypotenuse of 10
option A
A=20 BC = 2 AB is the hypotenuse
Using trig. ratio
sin20 = 2/AB
AB = 2/sin20
AB = 5.84
This is not equal to 10
Let's try option B
AC=7 BC= 3 AB =?
Using Pythagoras
AB= √ 7²+ 3² = √ 49+ 9 = √ 58 =7.6
It is not equal to 10
Let's try option C
B = 50 BC =4 AB = ?
Using trig, ratio
cos 50 = 4/AB
AB = 4/cos50 = 6.2
This is also not 10
option D
A=30 BC=5
Using trig. ratio
sin30 = 5/AB
AB = 5/sin30 = 10
This is equal to 10
option E
AC = 8 BC =6 AB = ?
using pythagoras,
AB =√ 8² + 6² = √ 64 + 36 = √100 = 10
Hence option D and E gives a hypotenuse of 10
