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Maths II

Measure and Shape

Theorem of Pythagoras (converse) - Test

1.

Triangle ABC has sides of length 15cm, 13cm and 7cm. Is triangle ABC a right angled triangle?

2.

Triangle STU has sides 17m, 15m and 8m. Is triangle STU a right angled triangle?

3.

In triangle QTR, QT = 8.7cm, QR = 6.9cm and TR = 11.1cm. Is triangle QTR a right angled triangle?

4.

In triangle CDE, CE = 39m, DE = 80m and CD = 89m. Is triangle CDEa right angled triangle?

5.

A telegraph pole should make an angle of 90° to the ground. A support wire is connected to the pole and is moored to the ground to ensure the pole is stable. The height of the pole is 12m and the support wire is 13m long. The wire it placed into the ground 5m out from the base of the pole. Does the pole make an angle of 90º with the ground?

6.

In triangle CDE, CE = 39m, DE = 80m and CD = 89m. Is triangle CDE a right angled triangle?

7.

A shelf in a room has to be at 90° to the wall otherwise it is deemed unsafe. The shelf is 17cm in width. The support bracket for the shelf is 7 cm high. The distance between the end of the shelf and the bottom of the bracket is 20cm. Is the shelf safe?

8.

Triangle ABC has sides of length 14cm, 12cm and 8cm. Is triangle ABC a right angled triangle?

9.

Triangle DEF has sides of length 10cm, 11cm and 7cm. Is triangle DEF a right angled triangle?

10.

Triangle GHI has sides of length 12cm, 13cm and 5cm. Is triangle GHI a right angled triangle?

11.

Triangle XYZ has sides of length 16cm and 2cm. Is triangle XYZ a right angled triangle?

12.

Triangle PQR has sides of length 7cm, 25cm and 24cm. Is triangle PQR a right angled triangle?