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Gwar [14]
3 years ago
14

Prove that a triangle with the sides a - 1 cm to root under a ​

Mathematics
1 answer:
vivado [14]3 years ago
4 0

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.  

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm  

Hence,

{AB}^2 = (a -1)^2 

Now We know that

(a- b)^2 = a^2+b^2 - 2ab

So;

{AB}^2= a^2 + 1^2 -2\times a \times1

{AB}^2 = a^2 + 1 -2a

Now;

{BC}^2 = (2\sqrt{a})^2= 4a

Also;

{CA}^2 = (a + 1)^2

Now We know that

(a+ b)^2 = a^2+b^2 + 2ab

{CA}^2= a^2 + 1^2 +2\times a \times1

{CA}^2 = a^2 + 1 +2a

{CA}^2 = AB^2 + BC^2

[By Pythagoras theorem]

a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a

Hence, {CA}^2 = AB^2 + BC^2

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

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The circle below has a center D and its diameter is 10 feet. Given that m angle A D B equals 35 degree, find the length of major
goldfiish [28.3K]

The length of major arc ACB with angle measure of 325° and diameter of 10 feet is (325/36)π

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

angle of arc ACB = 360° - 35° = 325°

The length of major arc ACB = (325/360) * π * 10 = (325/36)π

The length of major arc ACB with angle measure of 325° and diameter of 10 feet is (325/36)π

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0
2 years ago
What is the circumference in centimeters of the circle 24cm
faltersainse [42]

Answer:

75.36

Step-by-step explanation:

C= 2 pi r

c= d pi

c= 24*3.14

c= 75.36

3 0
2 years ago
Which equation is not a linear equation? Question options: a) –4v + 2w = 7 b) x4= y c) x = -5 d) 2x + 3y = 5
Semmy [17]

Answer: Option b

x^4= y

Step-by-step explanation:

Linear equations have the following form:

a_1x^n + a_2y^m + a_3w^s + a_4v^h = b

Where the exponents n, m, s and h are always 0 or 1

To know which equations are nonlinear, identify among the options given, those that have exponents other than 1 or 0

Note that in option b) the exponent of the variable x is n = 4 therefore the equation is nonlinear

Finally the answer is the option b

3 0
3 years ago
A shirt is originally priced at $24.50 a shirt goes on sale for 30% off the original price how much money to the nearest cent do
Ainat [17]

Answer:

7.86 is the answer

Step-by-step explanation:

30% of 24.50 is 7.35.

7.35+ 7% is 7.86

7.86 to the nearest cent is 7.86

8 0
3 years ago
Solve for b.<br> r = (b-5)m
alukav5142 [94]

Answer:

b=5m+r/m

Step-by-step explanation:

Let's solve for b.

r=(b−5)(m)

Step 1: Flip the equation.

bm−5m=r

Step 2: Add 5m to both sides.

bm−5m+5m=r+5m

bm=5m+r

Step 3: Divide both sides by m.

bm/m=5m+r/m

b=5m+r/m

Answer:

b=5m+r/m

6 0
2 years ago
Read 2 more answers
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