Problem 1: Find the length of the unknown side of the triangle.

A right triangle, one leg is 5 meters, one leg is unknown, and the hypotenuse is 11 meters.

The length of the unknown side of the triangle is _ m.

(Simplify your answer. Type an exact answer, using radicals as needed.)

Tip: a^2+b^2=c^2

Problem 2:

Tip: a^2+b^2=c^2

Find the length of the unknown side of each triangle. Give the exact length and an approximate length.

A right triangle, one leg is 8 millimeters, one leg is 8.1 millimeters, and the hypotenuse is unknown.

The exact length of the unknown side is _ mm.

(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or decimals for any numbers in the expression.)

The approximate length of the unknown side is _ mm.

(Round to one decimal place as needed.)

Question

Montes

Mathematics

5 April, 18:07

Problem 1: Find the length of the unknown side of the triangle.

A right triangle, one leg is 5 meters, one leg is unknown, and the hypotenuse is 11 meters.

The length of the unknown side of the triangle is _ m.

(Simplify your answer. Type an exact answer, using radicals as needed.)

Tip: a^2+b^2=c^2

Problem 2:

Tip: a^2+b^2=c^2

Find the length of the unknown side of each triangle. Give the exact length and an approximate length.

A right triangle, one leg is 8 millimeters, one leg is 8.1 millimeters, and the hypotenuse is unknown.

The exact length of the unknown side is _ mm.

(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or decimals for any numbers in the expression.)

The approximate length of the unknown side is _ mm.

(Round to one decimal place as needed.)

+5

Answers (1)

Know the Answer?

Edith Castro · Answer 1

Problem #1:

A right triangle, one leg is 5 meters, one leg is unknown, and the hypotenuse is 11 meters.

Use the Pythagorean Theorem, since this is a right triangle. If a and b are sides and c is the hypotenuse, then c^2 = a^2 + b^2.

Subbing the given side lengths, c^2 = (5 m) ^2 + (11 m) ^2 = 25 m^2 + 121 m^2, or

146 m^2. Thus, the length of the hypotenuse, c, is √ (146 m^2), or 12.08 m, to two decimal places.

Problem #2:

A right triangle, one leg is 8 millimeters, one leg is 8.1 millimeters, and the hypotenuse is unknown. Again, use the Pyth. Thm.:

(8.1 mm) ^2 + (8 mm) ^2 = c^2 = square of the length of the hypotenuse.

Then c^2 = 129.61 mm^2. This is not a perfect square, so we can ony give an approximate value for the hypo length, c: √ (129.61 mm^2) or 11.38 mm.