Math Problem Statement

Can you solve these sums with the steps?

Solution

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Math Problem Analysis

Mathematical Concepts

Triangle Similarity
Right-angled Triangles
Scale Factor
Area Ratios

Formulas

Pythagoras' theorem: a² + b² = c²
Area of triangle = 1/2 × base × height
Scale factor relationship: Actual Value = Model Value × Scale Ratio
Triangle Similarity: AA criterion (Two corresponding angles are equal)

Theorems

AA Criterion for Similarity
Properties of Right-angled Triangles

Suitable Grade Level

Grade 9-10