the base and altitude of a triangle are (3x-4y) and (6x+5y) respectively . find it's are
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Given:
- Base of the triangle = (3x - 4y)
- Altitude of the triangle = (6x + 5y)
To find:
- Its area ?
Solution:
• Let's consider ABC is a triangle.
Where,
- Base = (3x - 4y)
- Altitude = (6x + 5y)
⠀⠀━━━━━━━━━━━━━━━━━━━⠀
« Now, Finding area of the triangle,
→ Area = 1/2 × base × Altitude
→ 1/2 × (3x - 4y)(6x + 5y)
→ 1/2 × 18x² + 15xy - 24xy - 20y²
→ 1/2(18x² - 9xy - 20y²)
→ 9x² - 4.5xy - 10y²
∴ Hence, Area of the triangle is 9x² - 4.5xy - 10y²
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2
Answer is in the attachment.
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