Question

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=33 kilometers and c=55 kilometers, what is the perimeter? If necessary, round to the nearest tenth.

Answer 1

`\huge\boxed{\sf 132\ km}`

Explanation:

Given that,

a = 33 km

c = 55 km

Pythagoras Theorem:

`c^2=a^2+b^2`

Finding b:

(55)² = (33)² + b²

3025 = 1089 + b²

• Subtract 1089 from both sides

3025 - 1089 = b²

1936 = b²

• Take square root on both sides

44 = b

b = 44 km

Perimeter of the triangle:

• Perimeter means sum of all sides.

= a + b + c

= 33 + 44 + 55

= 132 km

`\rule[225]{225}{2}`