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3 years ago

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. 5, 13

Mathematics

2 answers:

Lesechka [4]3 years ago

6 0

Answer:

Leg= Leg- hypotenuse

Step-by-step explanation:

5 suquared= 25

13 squared= 169

25+169 =194

194 square root is 13.9

How to determine each side of a right triangle

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

liq [111]3 years ago

5 0

Answer:

13.9 (rounded)

Step-by-step explanation:

The pathaegorean theorem is A²+B²= C²

5²=25

13²= 169

169+25=194

√194=13.9

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Eduardwww [97]

Answer:

the answer is 11.5

Step-by-step explanation:

2x-9=14

2x = 23

x = 11.5

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3 years ago

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Find the HCF and LCM of the following pairs of numbers:

Marina86 [1]

Answer:

a)HCF between 774&252 is=18

LCM between 774&252=10836

b)HCF between 204&544 is=68

LCM between 204&544 is=1632

c)HCF between 770&385 is=385

LCM between 770&385 is =770

d)HCF between 477&552=3

LCM between 447&552 is =82248

Step-by-step explanation:

a)because LCM=2×2×3×3×7×43

b)because LCM=2×2×2×2×2×3×17

c)because LCM=2×5×7×11

d)because LCM=2×2×2×3×23×149

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3 years ago

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3 years ago

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joja [24]

${a}^{m} \div {a}^{n} = {a}^{m - n}$

<h3>Explanation :</h3>

${a}^{m} \div {a}^{n} = {a}^{m - n}$

${a}^{m} \times {a}^{n} = {a}^{m + n}$

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2 years ago

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Can someone please help me find the area of this polygon, thank you!

Amanda [17]

Answer:

Step-by-step explanation:

<h3>METHOD 1:</h3>

<em>Look at the picture</em>

We can divide a given polygon into three rectangles:

$21ft\ \times\ 10ft,\ 4ft\ \times\ 6ft,\ 6ft\ \times\ 6ft$

The formula of an area of a rectangle <em>l × w </em>:

$A=l\cdot w$

Calculate the area of each of the rectangles:

$A_1=(21)(10)=210\ ft^2\\\\A_2=(4)(6)=24\ ft^2\\\\A_3=(6)(6)=36\ ft^2$

The area of the given polygon:

$A=A_1+A_2+A_3\\\\A=210+24+36=270\ ft^2$

<h3 /><h3>METHOD 2:</h3>

<em>Look at the second picture</em>.

We subtract the field of the smaller rectangle (<em>11ft × 6ft</em>) from the field of the large rectangle (<em>21ft × 16ft</em>):

$A_S=(11)(6)=66\ ft^2\\\\A_L=(21)(16)=336\ ft^2\\\\A=A_L-A_S\to A=336-66=270\ ft^2$

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3 years ago