Contents

- 1 Problem 769. Calculate the area of a triangle between three points
- 2 Problem 2017. Side of an equilateral triangle
- 3 Problem 2023. Is this triangle right-angled?
- 4 Problem 43236. Find my daddy long leg (No 's')
- 5 Problem 1103. Right Triangle Side Lengths (Inspired by Project Euler Problem 39)
- 6 Problem 558. Is the Point in a Triangle?
- 7 Problem 42855. Height of a right-angled triangle
- 8 Problem 43599. Find the sides of an isosceles triangle when given its area and height from its base to apex
- 9 Problem 43294. Can we make a triangle?

Learn Matlab and earn a badge and skill. This section contains the *Cody solution* of** Basics – Triangles ****Cody Solution**. Total 9/9 solved problems.

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## Problem 769. Calculate the area of a triangle between three points

Calculate the area of a triangle between three points:

P1(X1,Y1)

P2(X2,Y2)

P3(X3,Y3)

these three points are the vertices of the triangle.

```
function y = your_fcn_name(X,Y)
y = abs(det([X(2)-X(1),X(3)-X(1);...
Y(2)-Y(1),Y(3)-Y(1)]))/2;
end
```

## Problem 2017. Side of an equilateral triangle

If an equilateral triangle has area A, then what is the length of each of its sides, x?

```
function x = side_length(A)
x = sqrt(A*4/sqrt(3))
end
```

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

```
function flag = isRightAngled(a,b,c)
v=[a b c];
v=v.*v
flag = 2*max(v)==sum(v);
end
```

## Problem 43236. Find my daddy long leg (No 's')

```
function ans = myDaddyLongLeg(x,ratio)
x/1.1473
end
```

## Problem 1103. Right Triangle Side Lengths (Inspired by Project Euler Problem 39)

If p is the perimeter of a right angle triangle with integral length sides, { a, b, c }, there are exactly three solutions for p = 120.

{[20,48,52], [24,45,51], [30,40,50]}

Given any value of p, return a cell array whose elements are the sorted side lengths of a possible right triangle whose perimeter is p. Furthermore, the elements of the output should be sorted by their shortest side length.

```
function c = right_triangle_sides(p)
array = [];
for a = 1:p
for b = 1:a
h = sqrt(a*a + b*b);
if (a+b+h)==p
array = [array ; sort([a b h])];
end
end
end
[rows cols] = size(array);
for i = rows:-1:1
c(rows-i+1) = {array(i,:)};
end
end
```

## Problem 558. Is the Point in a Triangle?

Check whether a point or multiple points is/are in a triangle with three corners

Points = [x, y];

Triangle = [x1, y1; x2, y2; x3, y3]

Return true or false for each point tested.

For example,

input: Points = [0, 0.5]; Triangle = [0, 0; 1, 0; 1, 1]

output: y = 0;

```
function y = your_fcn_name(Points, Triangle)
y=[];
for i=1:numel(Points)/2
X=Triangle(1,:)-Points(i,:);
Y=Triangle(2,:)-Points(i,:);
Z=Triangle(3,:)-Points(i,:);
XY=acos(dot(X,Y)/sqrt(dot(X,X))/sqrt(dot(Y,Y)));
YZ=acos(dot(Z,Y)/sqrt(dot(Z,Z))/sqrt(dot(Y,Y)));
ZX=acos(dot(X,Z)/sqrt(dot(X,X))/sqrt(dot(Z,Z)));
if XY+YZ+ZX==2*pi
y=[y,true];
else
y=[y,false];
end
end
end
```

## Problem 42855. Height of a right-angled triangle

```
function y = triangle_height(a, b, c)
if sqrt(a*a + b*b)==c && a>0 && b>0 && c>0
sides = [a b];
small = min(sides);
long = max(sides);
hyp = c;
y = (0.5000*((hyp + long - small)*(hyp - long + small)*(long - hyp + small)*(hyp + long + small))^(1/2))/hyp;
else
y = NaN;
end
```

## Problem 43599. Find the sides of an isosceles triangle when given its area and height from its base to apex

Find the sides of an isosceles triangle when given its area and the height from its base to apex.

For example, with A=12 and h=4, the result will be [5 5 6].

```
function y = sidesOfTheTriangle(A,h)
a = sqrt(h*h+A*A/(h*h));
y = [a a 2*A/h];
end
```

## Problem 43294. Can we make a triangle?

```
function flag = Is_Triangle(a, b, c)
v=[a b c];
flag=(2*max(v)<sum(v));
end
```

**Basics – Triangles** 9/9 solved problems. All solution is correct as they were first submitted in Matlab and then uploaded here for your help. If any solution doesn’t work then do comment.

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