In the given triangle we have : Hypotenuse = 5 , Base = 4 in, Height = 3 in
To check the triangle is right angle triangle, Apply the pythagoras Theorem :
[tex]\text{ Hypotenuse}^2=Perpendicular^2+Base^2[/tex]
Substitute the each value and simplify :
[tex]\begin{gathered} \text{ Hypotenuse}^2=Perpendicular^2+Base^2 \\ 5^2=3^2+4^2 \\ 25=9+16 \\ 25=25 \end{gathered}[/tex]
LHS = RHS
Pythagoras Theorem Verified
Hence the given triangle is right angle triangle.
The hieght of the triangle is 3 in
Perimeter of the triangle is the sum of all sides of the triangle
In the given triangle, perimeter = 3 + 4 + 5
Perimeter of the given triangle = 12 in
Area of triangle is express as the 1/2 Height x Base
Area of the given triangle = 1/2 x 3 x 4
Area of the given triangle = 6 in²
Answer :
The triangle is a right triangle : A
The Height of the triangle is 5 inches : G
The perimeter of triangle is 12 inches : C
The area is 60 square inhces : I
