In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=4.3 miles and b=2.6 miles, what is c? If necessary, round to the nearest tenth.
c=
miles
5 answers
c= 4.9 miles
how did u slove this
To solve for the length of the hypotenuse (c) in a right triangle, you can use the Pythagorean theorem:
a² + b² = c²
Plugging in the given values of a=4.3 miles and b=2.6 miles, we get:
(4.3)² + (2.6)² = c²
18.49 + 6.76 = c²
25.25 = c²
Taking the square root of both sides to solve for c:
c = √25.25
c ≈ 5.025 miles
Rounding to the nearest tenth, c ≈ 4.9 miles.
a² + b² = c²
Plugging in the given values of a=4.3 miles and b=2.6 miles, we get:
(4.3)² + (2.6)² = c²
18.49 + 6.76 = c²
25.25 = c²
Taking the square root of both sides to solve for c:
c = √25.25
c ≈ 5.025 miles
Rounding to the nearest tenth, c ≈ 4.9 miles.
wrong
I apologize for the mistake in my calculation. Let's correct it:
a² + b² = c²
(4.3)² + (2.6)² = c²
18.49 + 6.76 = c²
25.25 = c²
Taking the square root of both sides to solve for c:
c = √25.25
c ≈ 5.025 miles
Rounding to the nearest tenth, c ≈ 5.0 miles.
a² + b² = c²
(4.3)² + (2.6)² = c²
18.49 + 6.76 = c²
25.25 = c²
Taking the square root of both sides to solve for c:
c = √25.25
c ≈ 5.025 miles
Rounding to the nearest tenth, c ≈ 5.0 miles.