Analysis and Approaches for IBDP Maths Ebook 1 | Page 11

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2. The base length and the height of a right-angled triangle are 3348 cm and 14880 cm
respectively.
(a) Find the length of the hypotenuse of the triangle, giving your answer in the form
a� 10 k , where 1�a
� 10 and k � .
[2]
(b) Find the area of the triangle, giving your answer in the form a� 10 k , where
1�a
� 10 and k � .
[2]
1
3. The base length and the area of a rectangle are 5476 cm and
2
22489932 cm respectively.
(a) Find the height of the rectangle, giving your answer in the form a� 10 k , where
1�a
� 10 and k � .
[2]
(b) Find the length of the diagonal of the rectangle, giving your answer in the form
a� 10 k , where 1�a
� 10 and k � .
[2]
4. The height and the area of a right-angled triangle are 8283 cm and
respectively.
2
331320000 cm
(a) Find the base length of the triangle, giving your answer in the form a� 10 k , where
1�a
� 10 and k � .
[2]
(b) Find the length of the hypotenuse of the triangle, giving your answer in the form
a� 10 k , where 1�a
� 10 and k � .
[2]
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