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Setler [38]
2 years ago
6

If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side.​

Mathematics
2 answers:
kotegsom [21]2 years ago
5 0
<h3>⋆Solution:</h3>

<u>Let the two equal side of right angled isosceles triangle, right angled at Q be k cm.</u>

⋆ Given: h2 = 128

<u>So, we get</u>

\small\bold{PR2 = PQ2 + QR2}

\small\bold{h2 = k2 + k2 }

\small\bold\pink{ ⇒ }\small\bold{ 128 = 2k2 }

\small\bold\pink{ ⇒ }\small\bold{\frac{128}{2} = k2 }

\small\bold\pink{ ⇒ }\small\bold{ 64 = k2}

\small\bold\pink{ ⇒ }\small\bold{ \sqrt{64} = k}

\small\bold\pink{ ⇒ }\small\bold{8 = k }

<u>Therefore, length of each side is 8 cm.</u>

denis-greek [22]2 years ago
3 0

Answer:

<u>8 cm</u>

Step-by-step explanation:

Let the length be l.

Then, by Pythagorean Theorem,

l² + l² = 128

2l² = 128

l² = 64

l = <u>8 cm</u>

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MA_775_DIABLO [31]
Question 1:

To start off this question, we can tell that this is a square because it has 4 right angles and 4 congruent sides.

A square has four parallel sides and 4 congruent sides, so a square is a rhombus and parallelogram. 

A square has 4 right angles, so it's also a rectangle.

A square has 4 sides, so it's also a quadrilateral.

The first choice is your answer.

Question 2:

Not all quadrilaterals are rectangles, so A is incorrect.

Not all quadrilaterals are squares, so B is incorrect.

All rectangles are types of quadrilaterals, so C is correct.

Not all quadrilaterals are parallelograms, so D is incorrect.

Thus, C is your answer.

Question 3: 

The first choice will not work because a rhombus will satisfy those conditions, and a rhombus is not always a square.

The second choice will work because only a square will satisfy that condition because only squares have 4 congruent sides along with equal diagonals.

Thus, the second choice is your answer.

Have an awesome day! :)
7 0
3 years ago
Which explanation can be used to informally derive the formula for the volume of a cone?.
Elis [28]

The statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

<h3>The formula for the volume of a cone</h3>

If we look carefully at a cylinder and the cone, if both the objects have the same radius, still the volume of both the objects is different, that difference is been created because the cone is gradually decreasing to a point while the cylinder is of the same radius during the entire length.

This makes a difference in the volume of the two objects.

Therefore, the statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius.

Hence, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

Learn more about Cone:

brainly.com/question/1315822

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2 years ago
A manufacturing company uses an acceptance scheme on production items before they are shipped. The plan is a two-stage one. Boxe
kicyunya [14]

Answer:

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Step-by-step explanation:

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7 0
4 years ago
A car passes a landmark on a highway traveling at a constant rate of 55 kilometers per hour. One hour later, a second car passes
marysya [2.9K]
It will take 6.875h for the second car to overtake the first...

5 0
3 years ago
At the end of the month mr copley has $1473.61 in is checking account his checkbook showed the following transaction if made mad
ycow [4]

Total balance in Mr. Copley at the end of the month = $1473.61.

Initial deposite =  $75 (not shown in his checkbook).

Let us assume his balance at the beginning of the month = x.

Total balance at the end of the month = The balance at the beginning of the month + total deposite.

$1473.61 = x + 75.

Subtracting 75 from both sides, we get

1473.61 -75 = x + 75 -75.

1398.61 = x.

Therefore, his balance at the beginning of the month was $1398.61.

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