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In this lesson, we will learn how to calculate the area of a triangle given its base length and height.

Q1:

Find the area of a triangle whose height is 23 cm and base length is 16 cm.

Q2:

What is the area of the triangle on the front of Sherifβs maths folder?

Q3:

Find the difference between the area of a triangle whose base is 5.5 dm and height is 4 dm and the area of a rectangle whose dimensions are 21 cm and 16 cm in square centimetres.

Q4:

The height of a right-angled triangle is 47 cm. The base is 26 cm. What is its area?

Q5:

Find the height of a triangle whose base length is 13 cm and area is 299 cm^{2}.

Q6:

If the area of the shaded part in the given figure is 675 cm^{2}, find π₯ .

Q7:

If the perimeter of an equilateral triangle is 21.19 cm, and its area is 15.6 cm^{2}, find its height to the nearest hundredth.

Q8:

π΄ π΅ πΆ π· is a square. Find the area of β³ π πΆ π .

Q9:

π΄ πΆ Γ π΄ π΅ = Γ .

Q10:

Find the area of β³ π΄ π΅ πΆ . Round your answer to the nearest hundredth.

Q11:

Write an expression for the area in c m 2 , of a triangle of height 3 π₯ 3 cm and base 8 π₯ π¦ 3 3 cm.

Q12:

The area of a triangle with base π and height β is π΄ = 1 2 π β . Find the area of a triangle with a height of 16 and a base of 11.

Q13:

The base of a triangle is 14.45, and its corresponding height is 6 7 of that base. What is its area, to the nearest hundredth?

Q14:

The dimensions of a rectangular garden is 13 metres by 8 metres. Triangle π΄ πΈ πΆ represents the lawn where πΈ πΆ = 6 m . Find the area of π΄ πΈ πΆ giving the answer to two decimal places.

Q15:

Find the area of β³ π΄ π΅ πΆ .

Q16:

Find the difference in area between a parallelogram whose height is 9 cm and base length is 6 cm and a triangle whose height is 1 cm and base length is 3 cm.

Q17:

π΄ π΅ πΆ π· is a parallelogram of area 560. Suppose that point πΈ is on π΄ π· . What is the area of β³ πΈ π΅ πΆ ?

Q18:

The area of β³ π΄ π΅ πΆ is 12.35. Find πΆ π· to the nearest hundredth.

Q19:

Determine the height, π₯ , of the figure, given that π΄ is the area of its coloured part.

Q20:

A triangle has area 8 1 2 and base 9. What is its height?

Q21:

A triangle has an area of 45 square feet and its base is twice its height. Find the length of its base and its height, give exact answers.

Q22:

All the triangles and squares in the quilt pattern shown are congruent. Find the area of one of the blue triangles and the area of all triangles.

Q23:

Given that π· πΈ πΉ π is a square of side length 100 cm, find the area of β³ π π πΉ , and approximate the result to the nearest integer.

Q24:

Find the area of the β³ π΄ π΅ πΆ and the length of π΅ πΈ .

Q25:

Work out the area of the triangle.

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