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Savatey [412]
2 years ago
7

Consider the triangle

Mathematics
1 answer:
svet-max [94.6K]2 years ago
4 0

Answer:

Im confused what your trying to get at is there a picture or something

Step-by-step explanation:

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Choose the best answer:
Oksi-84 [34.3K]

Answer:

The length of the hypotenuse is 2 square root of 13 ⇒ c

Step-by-step explanation:

The rule of the area of the right triangle is A = \frac{1}{2} × leg1 × leg2, where

leg1 and leg2 are the sides of the right angle

∵ The area of a right triangle is 12 in²

∵ The ratio of the length of its legs is 2: 3

→ Let leg1 = 2x and leg2 = 3x

∵ leg1 = 2x and leg2 = 3x

→ Substitute them in the rule of the area above

∴ 12 = \frac{1}{2} × 2x × 3x

∵ 2x × 3x = 6x²

∴ 12 =  \frac{1}{2} × 6x²

∴ 12 = 3x²

→ Divide both sides by 3 to find x²

∴ 4 = x²

→ Take √ for both sides

∴ x = 2

→ Substitute x in the expressions of leg1 and leg2 to find them

∴ leg1 = 2(2) = 4 inches

∴ leg2 = 3(2) = 6 inches

∵ hypotenuse = \sqrt{(leg1)^{2}+(leg2)^{2}}

∴ hypotenuse = \sqrt{(4)^{2}+(6)^{2}}=\sqrt{16+36}=\sqrt{52}

∵ The simplest form of \sqrt{52} = 2\sqrt{13}

∴ The length of the hypotenuse = 2\sqrt{13} inches

3 0
2 years ago
What is the distance between the following two points?<br> (-5, -1) and (-8, -4)
liberstina [14]
The answer is -3 , -3
5 0
3 years ago
According to a certain​ country's department of​ education, 39.9​% of​ 3-year-olds are enrolled in day care. what is the probabi
Yuliya22 [10]
The probability would be 39.9%

The given probability states that 39.9% of the 3 years olds are in daycare. Therefore, it would be obvious to assume that if you randomly selected a 3 year old, that would be the probability that he/she is in daycare.
8 0
3 years ago
Graph and show work. Please. Helping a grandchild and I need to explain.
Usimov [2.4K]
You should try asking a tutor on the brainly app
7 0
3 years ago
What is a perimeter of a rectangle if one side is 6 in. and one is 8 in.?
ohaa [14]

Answer:

28

Step-by-step explanation:

6+6+8+8. Opposite sides of a rectangle are congruent

5 0
3 years ago
Read 2 more answers
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