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Give names to all vertices of triangle.

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and draw dotted line from D to E (mid point of AB )

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From right angled triangle ABC

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Apply Pythagorean triangle formula : AB² = AC²+BC²

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But AC = BC is given

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AB² = AC²+AC²

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AB² = 2AC²

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Substitute AB = 260

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260² = 2AC²

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AC² = 67600/2

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AC = √33800

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AC = 183.85 ft

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From right angled triangle ACD

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Apply Pythagorean triangle formula : AC² = AD²+CD²

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183.85² = AD²+105²

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AD² = 22775.8225

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AD = 150.9166

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From right angled triangle ADE

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Apply Pythagorean triangle formula : AD² = DE²+AE²

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150.9166² = DE²+(260/2)²

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DE² = 150.9166² - 130²

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DE² = 5875.82

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DE = 76.65

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Area of Orange Triangle ABD is ½(base)(height)

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= ½(AB)(DE)

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= ½(260)(76.65)

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=  9965 square feet

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Solution :

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Area of Orange Triangle is 9965 square feet

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