Respuesta :
Answer:
A = 441 in²
Step-by-step explanation:
An isosceles right triangle is a triangle with two equals sides (the legs ). In this particular case the base of the triangle will be the length of one side and at the same time the height of the triangle will be the other leg. Hypotenuse as always is the opposite side to the right angle.
The area of a triangle is
A = (1/2) * b* h
If we are going to compute the area of such triangle we have to find the length of one side That will be the base of the triangle and at the same time that will be the height of the triangle.
In any right triangle hypotenuse is:
H² = L₁² + L₂² (1)
As was explain before in this particular case L₁ = L₂
Then
H² = L₁² + L₁² ⇒ H² = 2 L₁² H = √2 * L₁ ⇒ L₁ = 42/√2
Then area of the
A = (1/2)* ( 42/√2) * ( 42/√2 ) ⇒ A = 1/4 * (42)²
A = 441 in²
