Matlab Cody——CUP Challenge 题解

1. Problem 1974. Length of a short side

function a = calculate_short_side(b, c)
  a = sqrt(c.^2-b.^2)
end

2. Problem 2024. Triangle sequence

function area = triangle_sequence(n)
  a = [0 1;1 1]^n;
  x = [9;16];
  res = a*x;
  area = res(2);
end

3. Problem 2022. Find a Pythagorean triple

function flag = isTherePythagoreanTriple(a, b, c, d)
tol = 1e-5;
  if abs(a^2+b^2 - c^2) <= tol
      flag = true;
  elseif abs(a^2+b^2 - d^2) <= tol
      flag = true;
  elseif abs(a^2+c^2 - d^2) <= tol
      flag = true;
  elseif abs(b^2+c^2 - d^2) <= tol
      flag = true;
  else
      flag = false;
  end
end

4. Problem 2023. Is this triangle right-angled?

function flag = isRightAngled(a,b,c)
  temp = [a,b,c];
  temp = sort(temp,2,'ascend');
  tol = 1e-5;
  if abs(temp(1)^2+temp(2)^2-temp(3)^2)<=tol
    flag = true;
  else
    flag = false;
end

5. Problem 2021. Is this triangle right-angled?

function flag = isRightAngled(a, b, c)
  tol = 1e-5;
  if abs(a^2+b^2-c^2)<tol
      flag = true;
  else
      flag = false;
  end
end

6. Problem 2020. Area of an Isoceles Triangle

function A = isocelesArea(x,y)
  w = y/2;
  h = sqrt(x^2-w^2);
  A = w*h;
end

7. Problem 2018. Side of a rhombus

function y = rhombus_side(x)
  y = sqrt(x.^2 + (x+1).^2)/2;
end

Donate