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Question:) Each of the equal sides of an isosceles triangle mesures 2 cm more than its height, and the base of the triangle measures 12 cm. Find the area of the triangle??
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Question:) Each of the equal sides of an isosceles triangle mesures 2 ...
Given information:
- Each equal side of the isosceles triangle measures 2 cm more than its height
- The base of the triangle measures 12 cm
Let's solve step by step:
1. Find the height of the triangle:
Let the height of the triangle be h cm.
Each equal side of the triangle measures (h+2) cm.
Since the base of the triangle is the same as one of the equal sides, we have:
2*(h+2) + 12 = 24 (Sum of all sides of the triangle)
2h + 4 + 12 = 24
2h + 16 = 24
2h = 8
h = 4
Therefore, the height of the triangle is 4 cm.
2. Find the base and equal sides:
Height = 4 cm
Base = 12 cm
Equal sides = 4+2 = 6 cm
3. Calculate the area of the triangle:
Area of the triangle = 1/2 * base * height
Area = 1/2 * 12 * 4
Area = 24 square cm
Therefore, the area of the isosceles triangle is 24 square cm.
- Each equal side of the isosceles triangle measures 2 cm more than its height
- The base of the triangle measures 12 cm
Let's solve step by step:
1. Find the height of the triangle:
Let the height of the triangle be h cm.
Each equal side of the triangle measures (h+2) cm.
Since the base of the triangle is the same as one of the equal sides, we have:
2*(h+2) + 12 = 24 (Sum of all sides of the triangle)
2h + 4 + 12 = 24
2h + 16 = 24
2h = 8
h = 4
Therefore, the height of the triangle is 4 cm.
2. Find the base and equal sides:
Height = 4 cm
Base = 12 cm
Equal sides = 4+2 = 6 cm
3. Calculate the area of the triangle:
Area of the triangle = 1/2 * base * height
Area = 1/2 * 12 * 4
Area = 24 square cm
Therefore, the area of the isosceles triangle is 24 square cm.
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Question:) Each of the equal sides of an isosceles triangle mesures 2 cm more than its height, and the base of the triangle measures 12 cm. Find the area of the triangle??
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Question:) Each of the equal sides of an isosceles triangle mesures 2 cm more than its height, and the base of the triangle measures 12 cm. Find the area of the triangle?? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Question:) Each of the equal sides of an isosceles triangle mesures 2 cm more than its height, and the base of the triangle measures 12 cm. Find the area of the triangle?? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Question:) Each of the equal sides of an isosceles triangle mesures 2 cm more than its height, and the base of the triangle measures 12 cm. Find the area of the triangle??.
Question:) Each of the equal sides of an isosceles triangle mesures 2 cm more than its height, and the base of the triangle measures 12 cm. Find the area of the triangle?? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Question:) Each of the equal sides of an isosceles triangle mesures 2 cm more than its height, and the base of the triangle measures 12 cm. Find the area of the triangle?? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Question:) Each of the equal sides of an isosceles triangle mesures 2 cm more than its height, and the base of the triangle measures 12 cm. Find the area of the triangle??.
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