Use the parallel axis theorem to find the area moment of inertia of a triangle and a rectangle about various axes.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Find moment of inertia of a composite shape consisting of a rectangle and two triangles with respect to the x-axis. Shapes rest on the x-axis so the parallel axis theorem is not required.

A mixture of right angled triangle questions.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths and randomises asking for hypotenuse or not.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.

Use a table of properties to find the Area Moment of inertia for simple shapes: rectangle, triangle, circle, semicircle, and quarter circle.

 The parallel axis theorem is not required for any of these shapes.  One situation requires subtracting a triangle from a rectangle however.

Distinguish between centroidal and non-centroidal moments of inertia.

Pythagoras' Theorem and naming sides of right angled triangle

rebelmaths

Student calculates $\bar{y}$ for a triangle.  Must use similar triangles get element $dA$.

Locate the centroid of a rectangle, triangle, and semi-circle on a coordinate grid.

Find the centroid of a shape made up of a rectangle and two triangles.

Find the centroid of a shape made from a rectangle, triangle, and circle.

Draws a triangle based on 3 side lengths.

Draws a triangle based on 3 side lengths and randomises asking for hypotenuse or not.

Homework Set.  Three problems to brush up on trig skills.  Right triangles and sine and cosine law.

Solve a random oblique triangle for sides and angles.

Use the parallelogram rule to solve a force triangle.

Draws a triangle based on 2 angles and a side length.

Draws a right angled triangle based on a length and an angle.

Draws a triangle based on 3 side lengths.

Draws a right angled triangle based on 2 lengths.

Draws a triangle based on 3 side lengths.  Randomises asking angle or side.