The ratio of the area of a triangle to the area od a rectangle is 3:5.The difference in their areas is 54 square inches what is the height of the triangle if its base is 2 times its height?
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Answer:
heyy here is your answer
Area and Perimeter of the Triangle
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Here we will discuss about the area and perimeter of the triangle.
● If a, b, c are the sides of the triangle, then the perimeter of triangle = (a + b + c) units.
● Area of the triangle = √(s(s - a) (s - h) (s - c))
The semi-perimeter of the triangle, s = (a + b + c)/2
● In a triangle if 'b' is the base and h is the height of the triangle then
Area of triangle = 1/2 × base × height
Similarly,
area and perimeter of the triangle
1/2 × AC × BD 1/2 × BC × AD
● Base of the triangle = (2 Area)/height
● Height of the triangle = (2 Area)/base
Area of right angled triangle
● If a represents the side of an equilateral triangle, then its area = (a²√3)/4
perimeter of an equilateral triangle
● Area of right angled triangle
A = 1/2 × BC × AB
= 1/2 × b × h
area of right angled triangle
Answer:
Step-by-step explanation:
Let 3x be the area of triangle and 5x be the area of rectangle
therefore we can say that 5x-54=3x
5x-3x=54
2x=54
x=27
area of triangle=3x=3×27=81 area of rectangle=5x=5×27=135
base of triangle=2x
=1/2×Base×height=135
1/2 × 2x × x=135
x × x = 135
x=root 135
therefore height= root 135