△BCD is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters. What is the length of the other leg?Enter your answer, as a decimal rounded to the nearest tenth, in the box. cm
Accepted Solution
A:
here we can use Pythogoras' theorem. in right angled triangles the square of the hypotenuse is equal to the sum of the squares of the other 2 sides. hypotenuse is 19 cm. One side is 13 cm and we need to find the length of the third side.
19² = 13² + X² X - length of the third side
361 = 169 + X² X² = 361 - 169
X² = 192
X = 13.85 the length of third side rounded off to the nearest tenth is 13.9 cm