A right triangle has legs with lengths 20 cm and 21 cm.What is the length of the hypotenuse?

Answers

Answer 1

Answer:

The length of the hypotenuse of the given right-angled triangle is 29 cm.

What is the hypotenuse?

The longest side of a right-angled triangle, i.e. the side opposite the right angle, is called the hypotenuse in geometry.

Pythagorean theorem :

If p be the length of the hypotenuse of a right-angled triangle, q and r be the lengths of the other two sides, then

p² = q² + r²

How to solve this problem?

Here, the lengths of the other two sides of the given right-angled triangle are 20 cm and 21 cm. Put these values in the above theorem to get the desired result.

Now, p² = (20)² + (21)²

= 400 + 441

= 841

i.e. p = √(841)

= 29

Therefore the length of the hypotenuse is 29 cm.

Know more about hypotenuse here -

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Answer 2

Answer: c²=a²+b²
c²=20²+21²=400+441=841
c²=841
c=√841
c=29
Answer: 29 cm

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Find the LCM of 8 and 16.

Answers

16 is the answer of LCM of 8 and 16

8l 8, 16
--------
2l 1, 2
--------
l 1, 1
--------

LCM = 8*2 = 16

So, the LCM for 8 and 16 is 16.

A roofing company sells roofing material for $12 per aquare yards. How many square yards of roofing material can be purchased for$900.

Answers

Total square yards = 900/12 = 75 sq yards.

An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.

Answers

The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus $5√(3)$ . A whole side of the triangle is $10√(3)$ . Multiply that by 3 to get the perimeter of $30√(3)$ .

In which situation would you opt for a car lease?A. You don't like to drive, and would prefer the services of a driver.
B. You want to buy a car, and keep it for a long period of time.
C. You like to change cars frequently without the hassles of selling and trading them.

Answers

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What's the length of side b in the figure below? I posted a picture so you can view the actual problem. Please help.

Answers

the answer would be letter c because you have to use orders of operations io on aka A^2+B^2=C^2
how to set it up woulf look like this: a^2= 7^2
B^2=?, and C^2=13^2
in other words a=7squared
B=?
and C=13 squared
so the problem would end up like this:.7*7+B*2=13*13
49+B*2=169
so now you subtract 169 from 49 and that equals B*2=√120

we know that

in the right triangle of the figure

Applying the Pythagorean Theorem

$13^(2) =b^(2) +7^(2) \n b^(2) =13^(2)-7^(2)\n b^(2)=120\n b=√(120) \ cm$

therefore

the answer is the option

C) $b=√(120) \ centimeters$

Please help how do I do this ??

Answers

for 10 here is the answer and for 9 i’ll reply to my comment

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