Test
Area of a right triangle
This test develops calculation of the area of a right triangle using the product of its perpendicular sides. Students identify the base and height, apply the formula, find missing dimensions and express answers in square units.
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Question 1out of 10
Find the area of the triangle by multiplying its base by its height and dividing the product by 2.
- Multiply the base length {a} m by the height {b} m.
- Divide the product by 2.
- Write the answer in square metres (m²).
Calculation: ({a} × {b}) ÷ 2.
Formula: A = (b × h) ÷ 2.
Question 2out of 10
Find the area of the triangle by multiplying its base by its height and dividing the product by 2.
- Multiply the base length {a} m by the height {b} m.
- Divide the product by 2.
- Write the answer in square metres (m²).
Calculation: ({a} × {b}) ÷ 2.
Formula: A = (b × h) ÷ 2.
Question 3out of 10
Calculate the areas of both right triangles using A = a · b / 2.
- First triangle: A₁ = {a} · {b} / 2.
- Second triangle: A₂ = {c} · {d} / 2.
- Compare A₁ and A₂ and choose the greater area.
Question 4out of 10
The area of a right triangle is half the product of its legs.
- Multiply the lengths of the two legs: {a} · {b}.
- Divide the product by 2.
Formula: A = ({a} · {b}) / 2. Give the answer in square centimetres (cm²).
Question 5out of 10
Calculate the area of a right triangle.
The two perpendicular sides of a right triangle may be used as its base and height.
- Find the lengths of the two perpendicular sides in the diagram.
- Multiply them.
- Divide the product by 2 because two such triangles would form a rectangle.
Formula: A = (a × b) ÷ 2.
Question 6out of 10
Question 7out of 10
Calculate the areas of both right triangles using A = a · b / 2.
- First triangle: A₁ = {a} · {b} / 2.
- Second triangle: A₂ = {c} · {d} / 2.
- Compare A₁ and A₂ and choose the greater area.
Question 8out of 10
The area of a right triangle is half the product of its legs.
- Multiply the lengths of the two legs: {a} · {b}.
- Divide the product by 2.
Formula: A = ({a} · {b}) / 2. Give the answer in square centimetres (cm²).
Question 9out of 10
The area of a right triangle is given by A = a · b / 2. When the area and one leg are known, rearrange the formula to find the other leg.
- Multiply the area by 2: 2 · {a}.
- Divide the result by the known leg length {b}.
Formula: unknown leg = 2 · {a} / {b}. Give the answer in centimetres.
Question 10out of 10
The area of a right triangle is calculated using A = a · b / 2.
- Multiply the area by 2: 2 · {s}.
- Divide the result by the known leg {b}.
Other leg = 2 · {s} / {b}. Give the answer in centimetres.
Time left: 00:00:00
Sample questions
- Calculate the area of a right triangle.
- The legs of a right triangle are ___ cm and ___ cm. Find its area.
- The area of a right triangle is ___ cm² and one leg is ___ cm. Find the other leg.
- A triangular flag has a base of ___ m and a height of ___ m. What is its area?
- A triangular garden bed has a base of ___ m and a height of ___ m. What is its area?
Area of a right triangle
In a right triangle, two sides form a 90° angle. One can be used as the base and the other as its perpendicular height. The area is half the product of the base and height: A = a × h ÷ 2.
If the perpendicular sides are 6 cm and 4 cm, the area is 6 × 4 ÷ 2 = 12 cm². Division by 2 is required because two identical right triangles form a rectangle.
What should be checked?
- The selected sides must be perpendicular.
- All lengths must use the same units.
- An area answer is written in square units.
If the area and one perpendicular side are known, multiply the area by 2 and divide by the known side to find the other side.
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