Use this triangle.

a. Find the length of the hypotenuse using the special relationships for a 45 - 45 - 90 triangle. Explain the relationships.

b. Write the exact value for sin 45 as a fraction in simplest form.

c. Use the formula for the area of a triangle given SAS to find the area of the triangle. Explain your steps.

d. Use a different method to find the area of the triangle. Explain your steps.

Question

Mathematics

Shaun Shepard

21 December, 17:44

Use this triangle.

a. Find the length of the hypotenuse using the special relationships for a 45 - 45 - 90 triangle. Explain the relationships.

b. Write the exact value for sin 45 as a fraction in simplest form.

c. Use the formula for the area of a triangle given SAS to find the area of the triangle. Explain your steps.

d. Use a different method to find the area of the triangle. Explain your steps.

+1

Answers (1)

Know the Answer?

Savannah Mckenzie · Answer 1

The sides are in the ratio 1 : 1 : sqrt2 where sqrt 2 = hypotenuse

so if the length of one of the legs is 2 cm the hypotenuse will be of length 2 * sqrt 2 cms.

b) sin 45 = 1 / sqrt2 = sqrt2 / 2

c) if the 2 legs of triangle are both 2 cms area will be 1/2 * 2 * 2