Find the hypotenuse of a triangle with legs length 12 cm and 14 cm. Round to the nearest tenth
Pythagorean Theorem:
a^2 + b^2 = c^2
12^2 + 14^2 = c^2
144 + 196 = c^2
340 = c^2
18.4 = c
To find the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
So, let's calculate the hypotenuse of the triangle with legs of 12 cm and 14 cm.
1. Start by squaring the lengths of the legs:
- Leg 1: 12 cm * 12 cm = 144 cm^2
- Leg 2: 14 cm * 14 cm = 196 cm^2
2. Next, sum the squares of the legs:
- 144 cm^2 + 196 cm^2 = 340 cm^2
3. Finally, take the square root of the sum to find the length of the hypotenuse:
- √(340 cm^2) ≈ 18.4 cm
Rounded to the nearest tenth, the length of the hypotenuse is approximately 18.4 cm.