1
The area of the triangle is, ? cm2.

2 Answer

2

Answer:

  • 102 cm²

Step-by-step explanation:

Perimeter is:

  • P = 40 cm
  • and
  • P = 2x - 4 + 5x - 13 + x + 9 = 8x - 8

Comparing the value:

  • 8x - 8 = 40
  • 8x = 48
  • x = 8 cm

Are formula:

  • A = 1/2ah

Replacing values:

  • A = 1/2(x + 9)(2x - 4)
  • A = 1/2(8 + 9)(2*8 - 4) = 1/2*17*12 = 102 cm²
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Mitchel Klein
15.5k 3 10 26
answered 1 year ago
2

Answer:

60cm²

Step-by-step explanation:

To find :-

  • The Area of the triangle .

We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .

→ 2x - 4 +5x - 13 + x + 9 = 40cm .

→ 8x - 8 = 40cm

→ 8x = 40+8 cm

→ 8x = 48 cm

→ x = 6cm .

We know that the area of the triangle is half the product of base and height .

  • Base = x + 9 = 15cm
  • Height = 2x -4 = 8cm .

→ A = 1/2 × b × h

→ A = 1/2 × 8cm × 15cm

→ A = 60cm²

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answered 1 year ago