Math Problem Statement
Jawab
Tentukan panjang sisi AB pada tiap bangun berikut (Find the length of side AB), Tentukan luas tiap bangun berikut (Find the area of the shapes), Kelompok bilangan manakah yang merupakan ukuran segitiga siku-siku? (Which group of numbers represents a right triangle?)
Solution
Let's work through the questions from the image you uploaded.
Question 1: Tentukan panjang sisi AB pada tiap bangun berikut (Find the length of side AB in the following shapes)
a) For the first shape (right triangle):
- Sides: AC = 6 cm (base), BC = 15 cm (hypotenuse), height from C to AB = 10 cm
- Use the Pythagorean theorem to find AB.
b) For the second shape (triangle):
- Given: AE = 12 cm (height), AB = 20 cm (hypotenuse), BE = 12 cm (vertical height), CE = 15 cm
- Again using the Pythagorean theorem, solve for AB. which gives
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Math Problem Analysis
Mathematical Concepts
Geometry
Pythagorean Theorem
Area Calculation
Formulas
Pythagorean theorem: a² + b² = c²
Area of a trapezoid: A = 1/2 × (Base1 + Base2) × Height
Area of a diamond: A = 1/2 × Diagonal1 × Diagonal2
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 6-8
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