in a right triangle, the hypotenuse measures 25 cm, and one leg(a) measures 7 cm. using the Pythagorean theorem, calculate the length of the other leg(b).
Answer (1)
The length of the other leg is 24 cm.We should determine the length of the other leg.Given:one leg is 7 cmthe hypotenuse is 25 cmWe can find the length of the other leg by applying the Pythagorean theorem:[tex]\sf a^{2} +b^{2} =c^{2}[/tex]Substitute the values:[tex]\sf 7^2+b^2=25^2[/tex]Simplify:[tex]\sf b^2=25^2-7^2[/tex][tex]\sf b^2=625-49[/tex][tex]\sf b^2=576[/tex]Take the square root:[tex]\sf b=24[/tex]
