Mathematics, 26.06.2019 22:00 rachelrobinson6456

Aright triangle has a hypotenuse whose length is 26 inches and a leg whose length is 10 inches which of the following is the area of the right triangle in square inches

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Answer from: thicklooney

Given the following data:

Hypotenuse of right triangle = 26 inchesAdjacent of right triangle = 10 inches

To find the area of the right triangle in square inches:

First of all, we would determine the other leg (opposite side) of the right triangle by using the Pythagorean's theorem.

Mathematically, Pythagorean's theorem is calculated by using the formula:

C^2 = A^2 + B^2

Where:

C is the hypotenuse.A is the opposite side.B is the adjacent side.

Substituting the values into the formula, we have:

$26^2 = A^2 + 10^2\\\\676 = A^2 + 100\\\\A^2 = 676 - 100\\\\A^2 = 576\\\\A = \sqrt{576}$

A = 24 millimeters.

Now, we would solve for the area of the right triangle by using the formula:

$Area = \frac{1}{2}$ × base × height

$Area = \frac{1}{2}$ × ×

Area = 5 ×

Area = 120 square inches.

Therefore, the area of the right triangle in square inches is 120.

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Aright triangle has a hypotenuse whose length is 26 inches and a leg whose length is 10 inches which

Answer from: galaxychild101

check the picture below.

Answer from: Quest

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you

In the diagram below, and are tangent to o. what is the measure of e?

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

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Aright triangle has a hypotenuse whose length is 26 inches and a leg whose length is 10 inches which...

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