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devlian [24]
1 year ago
13

The diagram shows squares 1 2 and 3

Mathematics
1 answer:
nikklg [1K]1 year ago
8 0

(Area of 1) + (Area of 2) = (Area of 3) this statement about the squares must be true.

What is Right angle traingle?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees. The triangle's base and perpendicular sides both include the right angle. The longest of the three sides, known as the hypotenuse, is the third side.

we know that;

By applying the Pythagorean Theorem;

c^2 = a^2 + b^2                                                                 .............................(1)

Area of the square says A1;

A1 = a^2 unit^2                                                           ...............................(2)

Area of the square says A2;

A2 = b^2 unit^2                                                         .................................(3)

Area of the square says A1;

A3 = c^2 unit^2                                                         ..................................(4)

Replace the A1, A2, and A3 values in the equation 1 ;

A3 = A1 + A2

therefore;

(Area of 1) + (Area of 2) = (Area of 3).

Learn more about right angled triangle click here:

brainly.com/question/22790996

#SPJ4

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Answer:

Step-by-step explanation:

Let the height = h

Let the base = 4h + 7

Area of a triangle = 1/2 * b * h

Area = 93 square inches

1/2 * (4h + 7)* h = 93            Multiply both sides by 2

(4h + 7) * h = 93*2

(4h + 7)*h = 186                    Remove the brackets

4h^2 + 7h = 186                   Subtract 186 from both sides.

4h^2 + 7h - 186 = 0

Use the quadratic formula to solve

a = 4

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x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4

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x1 = (-7 + sqrt(49 + 2976)) / 8

x1 = (-7 + sqrt(3025)) / 8

x1 = (-7 +55 ) / 8

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x1 = 6

There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75

h = 6

b = 4*6 + 7 = 31

Check

Area = 1/2 * b * h

Area = 1/2 * 31 * 6

Area = 1/2 *186

Area = 93 which is what we were given so the answer is correct.

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