【Explanation】: To find the length of the other leg of a right triangle given the hypotenuse and one leg, we use the Pythagorean theorem. Given the hypotenuse ( c ) as 34 cm and one leg ( a )) as 16 cm, we can solve for the other leg ( b ) using the equation ( b^2 = c^2 - a^2 ). Solving for ( b ), we get ( b = 30 cm). Therefore, the correct answer is option a, which is 30 cm.
Solving with Pythagoras theorem,
AC^2 = AB^2 + BC^2
34^2 = x^2 + 16^2 That yields;
1156 = x^2 + 256
Subtracting 256 from 1156 will give us;
x^2 = 900
Taking the square root of 900 since x² = 900;
x = 30 cm
So the length of the other side of the triangle is 30 cm.
Jawaban:
a. 30 cm
【Explanation】: To find the length of the other leg of a right triangle given the hypotenuse and one leg, we use the Pythagorean theorem. Given the hypotenuse ( c ) as 34 cm and one leg ( a )) as 16 cm, we can solve for the other leg ( b ) using the equation ( b^2 = c^2 - a^2 ). Solving for ( b ), we get ( b = 30 cm). Therefore, the correct answer is option a, which is 30 cm.
Solving with Pythagoras theorem,
AC^2 = AB^2 + BC^2
34^2 = x^2 + 16^2 That yields;
1156 = x^2 + 256
Subtracting 256 from 1156 will give us;
x^2 = 900
Taking the square root of 900 since x² = 900;
x = 30 cm
So the length of the other side of the triangle is 30 cm.
Jawaban:
Penyelesaian :
Salah satu siku - siku lainnya
[tex] \sf b = \sqrt{ {c}^{2} - {a}^{2} } [/tex]
[tex] \sf b = \sqrt{ {34}^{2} - {16}^{2} } [/tex]
[tex] \sf b= \sqrt{1.156 - 256} [/tex]
[tex] \sf b = \sqrt{900} [/tex]
[tex] \sf b = \sqrt{ {30}^{2} } [/tex]
[tex] \sf b = \red{30 \: cm}[/tex]
Maka jawabannya adalah a.
'조슈아' (Svt)