The areas of the squares adjacent to two sides of a right triangle are 29.2529.2529, point, 25 units^2 2 squared and 131313 units^2 2 squared. Find the length, xxx, of the third side of the triangle.

Respuesta :

Answer:

6.5 units

Step-by-step explanation:

We are given that

Two adjacent sides of right triangle

Suppose a,b and c are sides of right triangle.

[tex]a^2=29.25[/tex]squared units

[tex]b^2=13[/tex]square units.

Length of third side,c=x units

We have to find the length of third side of the triangle.

[tex]x^2=a^2+b^2[/tex]

By using Pythagoras theorem

[tex](Hypotenuse)^2=(Perpendicular\;side)^2+(Base)^2[/tex]

[tex]x^2=29.25+13[/tex]

[tex]x=\sqrt{29.25+13}[/tex]

[tex]x=6.5units[/tex]

Hence, the length x of the third side of the triangle=6.5 units

Answer:

It is 6.5 units