What is the length of a leg of an isosceles right triangle whose hypotenuse measures 6 inches? Let c represent the value of the

Question

Blababa [14]

2 years ago

5

What is the length of a leg of an isosceles right triangle whose hypotenuse measures 6 inches? Let c represent the value of the

hypotenuse. If the hypotenuse is c = a, then 6 = a. In inches, what is the value of a? 3 6

Mathematics

2 answers:

Artemon [7] · Answer 1 · 2022-08-12T18:18:22+03:00

Artemon [7]2 years ago

6 0

Perfect problem, excellent answer.

skad [1K] · Answer 2 · 2022-08-12T16:10:15+03:00

The answer depends on if the triangle is a 45-45-90 triangle or a 30-60-90 triangle. If it is a 45-45-90 triangle, then we would use the Pythagorean Theorem (a^2+b^2=c^2). plugging in the hypothesis, the equation would be a+b=36. If the legs are equal in the triangle, then each side would be the sqrt of 18 inches. Simplified, it would be 3r2.