Question

the diagram shows a triangle.
all the measurements are in cm
the perimeter of the triangle is 70cm
the area of the triangle is Acm squared
work out the value of A​

Answer 1

Answer:

A = 110.25

Step-by-step explanation:

add all the equations and equal it to 180 because all triangle angles add to 180:

4x+1 + 3x + 3x-1 = 180

10x =70

/10   /10

x = 7

Insert x into each equation and solve:

3(7)-1 = 20

4(7)-1 = 27

3(7) = 21

and then use A = 1/2 base*height formula:

A= 1/2 21* 20

A= 210

Answer 2

Area of triangle A is 210 cm²

Given that;

Perimeter of the triangle = 70cm

Sides of triangle = 3x, 4x + 1, 3x - 1

Find:

Area of triangle A

Computation:

3x + (4x + 1) + (3x - 1) = 70

3x + 4x + 3x = 70

10x = 70

x = 7

So,

Perpendicular = 3x - 1 = 21 - 1 = 20 cm

Hypotenuse = 4x + 1 =28 + 1 = 29 cm

base = 3x = 21 cm

Area of triangle A = (1/2)(b)(h)

Area of triangle A = (1/2)(21)(20)

Area of triangle A = (21)(10)

Area of triangle A = 210 cm²

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