Homework Book: Odd Questions

1) The _______ relationship can be used to determine the _______ of the _________
of a right triangle when the lengths of the two_______ are known.

pythagorean, lengths, hypotenuse, legs

3)Determine the length of each hypotenuse.show your work.
A)












a²+b²=c²
9cm²+40cm²=c²
9x9+40x40=c²
81cm²+1600cm²=c²
1681cm²=c²
√1681cm²=√c²
41cm=c












B)












a²+b²=c²
12m²+35m²=c²
12x12+35x35=c²
144m²+1225m=c²
1369m²=c²
√1369m²=√c²
37m=c











5)Calculate the missing side length for each right triangle, to the nearest tenth of a centimetre. Show your work.
A)











c²-a²=b²
6cm²-5cm²=b²
6x6+5x5=b²
36cm²+25cm²=b²
11cm²=b²
√11cm²=√b²
3.3cm=b











B)











c²-b²=a²
12cm²-7cm²=a²
12x12+7x7=a²
144cm²+49cm²=a²
95cm²=a²
√95cm²=√a²
9.7cm=a












7)A triangle is made up of two smaller congruent right triangles.












A)Find the length of the hypotenuse for the right triangles, to the nearest tenth of a metre. Show your work.
a/2=a²
8/2=4

a²+b²=c²
4²+2²=c²
4x4+2x2=c²
16m²+4m²=c²
20m²=c²
√20m²=√c²
4.5m=c

B)Calculate the perimeter of the large triangle, to the nearest tenth of a metre. Show your work.
a+b=perimeter
8+4.5=17 m

Here is a link about Pythagorean Relationship.

Here is a video using math link textbook about pythagorean relationship.