Respuesta :
The height of the triangle is 19.596 centimeter, if a right isosceles triangle has an area of 192 square centimeters.
Step-by-step explanation:
The given is,
Area of right isosceles triangle is 192 square centimeters
Step:1
Formula for area of right isosceles triangle is,
[tex]A=\frac{1}{2} a^{2}[/tex]............................(1)
Where, a - Sides of triangle
a = h = b
Here, h - Height of triangle
b - Base of triangle
From given,
Area, A = 192 square centimeters
Equation (1) becomes.
[tex]192=\frac{1}{2} a^{2}[/tex]
[tex]a^{2} = (2)(192)[/tex]
= 384
[tex]a^{2} = 384[/tex]
Take square root on both sides,
[tex]a=\sqrt{384}[/tex]
a = 19.596 centimeters
Height of right isosceles of triangle, a = h = 19.596 centimeters
Result:
The height of the triangle is 19.596 centimeter, if a right isosceles triangle has an area of 192 square centimeters.
