Question

20. In a right triangle a = 16, b= 30, find c. Round to the nearest tenth.

Answer 1

To find the length of the hypotenuse c in a right triangle with legs a = 16 and b = 30, we can use the Pythagorean theorem:

c^2 = a^2 + b^2

Substituting the given values, we get:

c^2 = 16^2 + 30^2

c^2 = 256 + 900

c^2 = 1156

Taking the square root of both sides, we get:

c = √1156

c ≈ 34.0 (rounded to the nearest tenth)

Therefore, the length of the hypotenuse c in the right triangle is approximately 34.0 units.