Question

​ △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

Answer 1

1. The area of a right triangle is 210 square inches. The height of the right triangle is 35 inches.

What is the length of the hypotenuse of the right triangle? (37in.)

2. △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? (13.9cm)

Enter your answer, as a decimal rounded to the nearest tenth, in the box.

3. What is the value of a?

Enter your answer in the box.

a = 15

A right triangle with a base labeled as 20. The hypotenuse is labeled as 25. The perpendicular is labeled as a. The angle made between the base and the perpendicular is marked as a right angle.

Answer 2

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