These lessons will involve the students in investigating and understanding:
• Construction 13: Right-angled triangle, given length of hypotenuse and one other side.
How to construct (draw) a right triangle with a given leg and hypotenuse (HL)
How to construct (draw) a right triangle with two given leg lengths (LL)
Project Maths Construction 13
• Construction 14: Right-angled triangle, given one side and one of the acute angles (several cases)
How to construct (draw) a right triangle with a given one angle and hypotenuse (HA)
How to construct (draw) a right triangle with a given one angle and one leg (LA)
Project Maths Construction 14
• Construction 15: Rectangle given side lengths
How to construct (draw) a square
Project Maths Construction 15
Project Maths Construction 15a
• *Theorem 14: [Theorem of Pythagoras]
Pythagorean Theorem - math word definition - Math Open Reference
Project Maths Theorem 14
• Theorem 15: [Converse to Pythagoras’ Theorem ] If the square of one side of a triangle is the sum of the squares of the other two, then the angle opposite the first side is a right angle.
Project Maths Theorem 15
• Proposition 9: (RHS) If two right-angled triangles each have hypotenuse and one other side equal in length respectively, then they are congruent.
Khan Pythagorean theorem
Khan Pythagorean theorem word problems
Khan Distance formula
Review Proof
Pythagorean Theorem Proof - Math Open Reference
Project Maths Theorem 14 (HL)