Choosing an appropriate method for finding lengths of a triangle

Quiz by Oak National Academy: KS3 Maths (2)

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6 questions

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Q1
In a right triangle, if the hypotenuse is 40 cm and a second side is 32 cm, what is the length of the third side? (Use a calculator to help you.)
22 cm
24 cm
26 cm
30s
Q2
In a right triangle, if the shortest sides are 10 cm and 7.5 cm, what is the length of the hypotenuse? (Use a calculator to help you.)
13.5 cm
11.5 cm
12.5 cm
30s
Q3
Would a triangle ABC with sides AB = 9cm, BC = 7.5cm, AC = 12.5cm be similar to the one shown in the diagram?
Yes
No
30s
Q4
For this pair of triangles, can you determine whether they are similar without using side lengths?
No, because you always need a side and two angles.
No because you only know two angles.
Yes, because their three angles correspond.
30s
Q5
In a right triangle, if the hypotenuse is 200 cm and a second side is 120 cm, what is the perimeter? (Use a calculator to help you.)
480 cm
470 cm
492 cm
30s
Q6
In a right triangle, if the hypotenuse is 30 cm and a second side is 18 cm, what is the area? (Use a calculator to help you.)
$1028 cm^2$
$512 cm^2$
$216 cm^2$
30s

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