Q. 9. Perhatikan gambar.Jika panjang AD=16cm dan AB=25cm, Panjang BC adalah ....A. 12cmB. 15cmC. 16cmD. 20cm
Identify Right-Angled Triangle: We know triangle ABC is right-angled at B, so we can use Pythagoras' theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Calculate Length of BC: Let's calculate the length of BC using the Pythagorean theorem: AB2=BC2+AD2.
Substitute Given Lengths: Substitute the given lengths into the equation: 252=BC2+162.
Calculate Squares: Calculate the squares: 625=BC2+256.
Isolate BC2: Subtract 256 from both sides to isolate BC2: BC2=625−256.
Find Square Root: Calculate the difference: BC2=369.
Calculate BC: Find the square root of BC2 to get BC: BC=369.
Calculate BC: Find the square root of BC2 to get BC: BC=369.Calculate the square root: BC=19.2, but this is not one of the options, so we must have made a mistake.