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Varvara68 [4.7K]
2 years ago
8

find the area of a right angle triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long​

Mathematics
1 answer:
Lelu [443]2 years ago
6 0

Answer:

30 cm^2

Step-by-step explanation:

a = 13 cm

b = 12 cm

using Pythagorean theorem:

a^2 = b^2 + c^2

--> c^2 = a^2 - b^2 = 13^2 - 12^2 = 169 - 144 = 25

--> c = √25 = 5

The area of that right triangle is:

S = b.c / 2 = 12 . 5 / 2 = 30 (cm^2)

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Extra P./Geometry <br> Help quick! Thanks In Advance :)
IrinaVladis [17]

The measure of angle C is 89 degrees.

<u>Step-by-step explanation:</u>

The given polygon ABCD is a quadrilateral.

<u>The property of a quadrilateral :</u>

The sum of the consecutive angles add to 180°.

In this quadrilateral, the angles B and C are consecutive angles. So, the sum of angle B and angle C is equal to 180 degree.

Given that,

  • The measure of angle B = 2x+3
  • The measure of angle C = 2x+1

<u>To find the value of x :</u>

m∠B + m∠C = 180

(2x+3) + (2x+1) = 180

4x + 4 = 180

4x = 180 - 4

4x = 176

x = 176/4

x = 44

<u>To find m∠C :</u>

m∠C = 2x + 1

⇒ 2(44)+1

⇒ 88+1

⇒ 89°

The measure of angle C is 89 degrees.

4 0
3 years ago
What is1/12+7/9. I need help.
Katarina [22]
You have to make them have their least common denominator to add or subtract, in this case 36.
Multiply 1/12 by 3, to get the denominator 36: 3/36.
Multiply 7/9 by 4, to get the denominator 36: 28/36.
Now add the numerators: 3+28=31, 31/36 is as simplified as possible so your answer is 31/36 :) I hope this helps :)
7 0
3 years ago
Please help me!<br> [One Step Inequalities]
ivann1987 [24]

Answer:

C

Step-by-step explanation:

7 0
2 years ago
Use the distributive property to rewrite (5x + 3)(2) as a sum of two terms. <br><br> please hurry
Anna007 [38]

Answer:

10x + 6

Step-by-step explanation:

When distributing, you need to multiply the number on its own by both terms of the binomial (the 5x + 3). 5 times 2 is 10, and then you have the x, so it is 10x. Multiply 3 times 2 and get 6. Hope this helps!

6 0
3 years ago
Please help, I need it soon.
nadya68 [22]
Answer is : 8v^3+ 14v^2+11v+3
For cubic feet

Solution

Formula : volume base area x height

So base area = 4v^2 +5v+3
Height = 2v+1


So multiply

Volume =(4v^2+5v+3) x(2v+ 1)

The rest is below



7 0
2 years ago
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