The starter and exit quiz of the lesson “The area of any triangle”, from the unit “Non right-angled trigonometry” (Year 11 Maths) by Oak National Academy.
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Oak National Academy
12 questions
Match the polygon with the formula for calculating its area.
Match the areas of these triangles with their dimensions.
A regular hexagon is made up of 6 equilateral triangles. The total area of the regular hexagon is 120 cm^2. The area of one triangle is ___cm^2.
A right-angled triangle has a height of 8 cm and a base of 5 cm. Work out the length of the hypotenuse to 1 decimal place.
A right-angled triangle has a height of 4 cm and a hypotenuse of 15 cm. Work out the length of the base to 1 decimal place.
A rectangle has a width of 5 cm and a diagonal length of 13 cm. The area of the rectangle is ___cm^2.
Match the areas of these triangles with their dimensions.
A right-angled triangle has a height of 13 cm and a hypotenuse of 20 cm. The area of the triangle to 1 decimal place is ___cm^2.
A triangle has two adjacent lengths of 8 cm and 9 cm with an angle in between of 53°. The area of the triangle to 1 decimal place is ___cm^2.
Area = \frac{1}{2}ab\text{sin}C, despite a, b and C being explicit in the formula, they just mean two adjacent sides and the angle between them. Select other formulas for the area.
Match the areas with the dimensions of the triangle.
Six equilateral triangles are put together to make a regular hexagon. The length of each triangle is 6 cm. Work out the exact area of the regular hexagon.
