Question

The height of a triangle is 7cm less than its base if the hypotenuse is 13cm form the quadratic equation to find the base of the triangle

Answer 1

hola mate...

here is ur answer....

hope this helps...

Answer 2

Solution:

Refer the attachment for the diagram:

Given:

The height of a triangle is 7cm less than its base if the hypotenuse is 13cm form the quadratic equation.

Find:

Find the base of the triangle.

Calculations:

→ h = 13 cm

→ b = b cm

→ p = (b - 7) cm

→ h² = p² + b²

→ b² = h² - p²

→ b = √h² - p²

→ √(13)² - (b - 7)²

→ √169 - (b² + 49 - 14 b)

→ √169 - b² - 49 + 14 b

→ √120 - b² + 14 b

→ √- b² + 14 b + 120

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