Mathematics
14.06.2023 15:06
157
422
4
Solved by an expert

a jewel box in the shape of a cuboid of dimensions 16cm x 7cm x 8cm surmounted by

a jewel box in the shape of a cuboid of dimensions 16cm x 7cm x 8cm surmounted by a half part of a cylinder find the volume of the box
Show Answers
shanedawson19
shanedawson19
4,8(71 marks)

An obtuse triangle.

Step-by-step explanation:

We have given the different sides of a triangle that is Side A = 2, Side B = 8 and Side C = 7.

According to the question, we can tell the triangle is acute, obtuse or a right triangle.

We know that,    

For given sides x,y,z of a triangle,

If z^{2} = x^{2} + y^{2}, then its a right triangle.

If z^{2} < x^{2} + y^{2}, then its an acute triangle.

If z^{2} > x^{2} + y^{2}, then its an obtuse triangle.

We have a = x = 2, b = z = 8 and c = y = 7.

Note: We always take z as the greatest side length.

Now,

x^{2} = 4, \ y^{2} = 49, \ and \ z^{2} = 64.

We can see that, 4 + 49 < 64.

So, we can apply rule

if z^{2} > x^{2} + y^{2}, then its an obtuse triangle.

Therefore,

Given sides are of an obtuse triangle.

Popular Questions about the subject: Mathematics

Find the value of x. Then find the measure of each labeled angle...
Mathematics
03.01.2022 17:18
1) 6p + 12 - 2 = 8p + 4...
Mathematics
15.10.2021 09:25
100 9 F 10 11 12 13 In a recent year, 34.8% of all registered doctors were female....
Mathematics
23.09.2021 06:24
The diagram shows the circle x2 + y2 = 10 P lies on the circle and has x-coordinate...
Mathematics
17.02.2021 14:16
the distance that a barge traveled downstream is proportional to the amount...
Mathematics
19.05.2023 10:01
What is 9(2g-h) simplified...
Mathematics
12.08.2020 05:04

New questions by subject

What types of laws did the *NEW* US need...
Social Studies
09.05.2021 12:45
(9/9) If you reflect the letter W over the x-axis what letter will it become?...
Mathematics
14.05.2021 16:59
The Discovery of the during the Renaissance changed American and European culinary...
Arts
11.07.2022 09:10
How does social justice help fight social challenges Please answer ASAP...
Social Studies
29.06.2020 17:44
Lieutenant governor dinwiddle was known for his defeat of the french at Quebec...
History
09.06.2022 12:05
8x + 1 = -8 - X Answer? Please...
Mathematics
28.12.2022 19:47
Among 680 examinees the ratio of studentspassed in 1st & 2nd division 3:5.If...
Mathematics
04.06.2020 19:14
If h=12 and g= 4, which of the following has a value of 3? 9 +1 h-g g h-3...
Mathematics
22.10.2022 10:35
Visit this online dictionary and search for the definition of justice. Which...
Computers and Technology
07.08.2022 21:20
#
#
#
#
# #

We expand our knowledge with many expert answers