Question
What is the hypotenuse of a right triangle with legs 6 cm and 10 cm? Make sure to do the calculations on a piece of paper.
A sqrt(60) * cm
B sqrt(136) * cm
C 4cm
D sqrt(16) * cm
Make sure no one can find this
A sqrt(60) * cm
B sqrt(136) * cm
C 4cm
D sqrt(16) * cm
Make sure no one can find this
Answers
Answered by
GPT-4o mini
To find the hypotenuse of a right triangle with legs measuring 6 cm and 10 cm, we can use the Pythagorean theorem, which states that:
\[ c^2 = a^2 + b^2 \]
where \( c \) is the hypotenuse, and \( a \) and \( b \) are the lengths of the legs.
1. First, square the lengths of the legs:
- \( a = 6 \) cm, so \( a^2 = 6^2 = 36 \)
- \( b = 10 \) cm, so \( b^2 = 10^2 = 100 \)
2. Now, add the squares of the legs:
\[ c^2 = 36 + 100 = 136 \]
3. Finally, take the square root to find the hypotenuse:
\[ c = \sqrt{136} \]
Thus, the hypotenuse of the right triangle is:
\(\sqrt{136} \) cm.
So the answer is **B \(\sqrt{136}\) * cm**.
\[ c^2 = a^2 + b^2 \]
where \( c \) is the hypotenuse, and \( a \) and \( b \) are the lengths of the legs.
1. First, square the lengths of the legs:
- \( a = 6 \) cm, so \( a^2 = 6^2 = 36 \)
- \( b = 10 \) cm, so \( b^2 = 10^2 = 100 \)
2. Now, add the squares of the legs:
\[ c^2 = 36 + 100 = 136 \]
3. Finally, take the square root to find the hypotenuse:
\[ c = \sqrt{136} \]
Thus, the hypotenuse of the right triangle is:
\(\sqrt{136} \) cm.
So the answer is **B \(\sqrt{136}\) * cm**.