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Area of a triangle (2) 1 a) Divide each rectangle into two right-angled triangles. The first one has been done for you. 2 a) Calculate the area of the rectangle and the triangle. area = cm 2 area = cm 2 b) Explain how you worked out the area of the right-angled triangle. 3 Calculate the areas of the right-angled triangles. triangle A = cm 2 triangle C = cm 2 triangle B = cm 2 4 Whitney is calculating the area of the triangle using the formula. Do you agree with Whitney? Talk about it with a partner. © White Rose Maths 2019 A B C 1 cm 1 cm 1 cm 1 cm 1 cm 1 cm 1 cm 1 cm Area = 1 2 × base × perpendicular height The area is 1 2 × 4 × 3. You can ignore the 5 because it isn’t the base or the perpendicular height. 5 cm 3 cm 4 cm

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Page 1: Area of a triangle (2) 3 A a) B...Area of a triangle (2) 1 a) Divide each rectangle into two right-angled triangles. The firstone has been done for you. 2 a) Calculate the area of

Area of a triangle (2)

1 a)Divideeachrectangleintotworight-angledtriangles.

Thefirstonehasbeendoneforyou.

2 a)Calculatetheareaoftherectangleandthetriangle.

area= cm2 area= cm2

b) Explainhowyouworkedouttheareaofthe

right-angledtriangle.

3 Calculatetheareasoftheright-angledtriangles.

triangleA= cm2triangleC= cm2

triangleB= cm2

4 Whitneyiscalculatingtheareaofthetriangleusingtheformula.

DoyouagreewithWhitney?

Talkaboutitwithapartner.

©WhiteRoseMaths2019

A

B

C1cm

1cm

1cm

1cm

1cm

1cm

1cm

1cm

Area= 12

×base×perpendicularheight

The area is 12 × 4 × 3.

You can ignore the 5 because it isn’t the base or the perpendicular height.

5cm

3cm

4cm

Page 2: Area of a triangle (2) 3 A a) B...Area of a triangle (2) 1 a) Divide each rectangle into two right-angled triangles. The firstone has been done for you. 2 a) Calculate the area of

5 Insertthecorrectnumbersintotheformulatocalculatetheareaof

thetriangle.

a)

12

× × = cm2

10cm

6cm

8cm

b)

12

× × = mm2

15mm

8mm

17mm

c)

12

× × = cm2

5cm

13cm

12cm

6 Calculatetheareasofthetriangles.

a) b)

3cm

8cm

5mm

4mm

area= cm2 area= mm2

©WhiteRoseMaths2019

c) d)

10m13m

12m

12mm

2cm

16mm

area= m2 area= mm2

7 Thewidthoftheright-angledtrianglesisincreasingby1cm.

6cm

1cm

6cm

2cm

6cm

3cm

Investigatethepatternfortheareas.

Whathappenstothepatternifthelengthandwidthincrease?


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