Answer:
Explanation:
Okay, let's analyze this step-by-step:
Given:
- Isosceles right triangle
- Legs are each 20 mm
- Trying to find the hypotenuse (c)
Working:
- The legs are each 20 mm
- By Pythagorean theorem: c^2 = a^2 + b^2
- Here a = b = 20 mm
- So c^2 = (20)^2 + (20)^2
- c^2 = 400 + 400
- c^2 = 800
- c = √800
- c = 28.28 mm
Mistake:
- The working incorrectly calculated (20 + 20)^2 = c
- This is wrong, as it squares the sum instead of each leg separately.
Correction:
- Should be c^2 = (20)^2 + (20)^2
- Not (20 + 20)^2
Therefore, the correct hypotenuse length is:
c = √800 = 28.28 mm