Math Problem Statement
Jawablah soal diatas
Solution
The questions on this worksheet relate to the Pythagorean theorem and properties of special right triangles (30°-60°-90° and 45°-45°-90° triangles). Let’s go through each section systematically to provide solutions.
Section 1: Teori Segitiga Istimewa 30° dan 60°
Given a right triangle with:
- Hypotenuse cm
- Angle and
From the properties of a 30°-60°-90° triangle:
-
The side opposite 30° (BC) is half the hypotenuse:
-
The side opposite 60° (AB) is :
Solutions:
- Panjang cm
- Panjang cm (rounded to 1 decimal place)
Section 2: Teori Segitiga Istimewa 45°
Given a 45°-45°-90° triangle:
- If one leg (e.g., cm), the hypotenuse is times the leg:
Solutions:
- Panjang cm (rounded to 1 decimal place)
LATIHAN LKPD 07
For this part, it provides two triangle problems.
Question 1
Given triangle :
- cm
Solution Steps:
- : Calculate angle based on known values (usually involves trig functions).
- : Using Pythagorean theorem or triangle properties.
- : Relation between parts using triangle properties.
- : Calculation based on properties of right triangles.
Question 2
Properties and area calculations of triangle , given data to solve each geometric property.
Would you like a detailed solution for each sub-question in LATIHAN LKPD 07? Here are some related questions:
- How do you determine side lengths in a 30°-60°-90° triangle?
- How is the hypotenuse calculated in a 45°-45°-90° triangle?
- How can trigonometric functions be used to find angles?
- What is the formula for the area of a right triangle?
- How to apply the Pythagorean theorem in non-right triangles?
Tip: Remember that the 30°-60°-90° triangle has specific side ratios (1 : √3 : 2), which can simplify many calculations.
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Math Problem Analysis
Mathematical Concepts
Pythagorean Theorem
Special Right Triangles (30°-60°-90° and 45°-45°-90°)
Trigonometry in Right Triangles
Area Calculation of Triangles
Formulas
Pythagorean Theorem: a^2 + b^2 = c^2
30°-60°-90° triangle side ratios: 1 : √3 : 2
45°-45°-90° triangle side ratios: 1 : 1 : √2
Area of Triangle: (1/2) * base * height
Theorems
Pythagorean Theorem
Properties of 30°-60°-90° Triangles
Properties of 45°-45°-90° Triangles
Suitable Grade Level
Grades 9-10