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2 years ago

What is the value of c? 4 units 5 units 6 units 7 units

Mathematics

2 answers:

Delvig [45]2 years ago

5 0

Answer:

5 units

Step-by-step explanation:

Use the Pythagorean theorem, 4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

5 = c

DedPeter [7]2 years ago

3 0

Answer:

5 units

Step-by-step explanation:

You could use the Pythagorean Theorem since triangle WYZ is a right triangle. We know it is right because angle WYZ has the little square there meaning 90 degree measurement at that angle.

So the two legs have measurements 4 and 3.

We need to find the hypotenuse. We know c represent the hypotenuse measurement because it is opposite the 90 degree angle.

We need to solve:

$4^2+3^2=c^2$

$16+9=c^2$

$25=c^2$

Take square root of both sides:

$5=c$ .

Eventually you will start to remember (3,4,5) has a Pythagorean triple where the smaller measurements in the triple represent leg measurements while the largest represents the hypotenuse.

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2 years ago

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1 year ago

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2 years ago

What is the length of line segment EF if DE is 6ft and DF is 11ft and angle FDE is 40 degrees

Anna [14]

Answer:

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Step-by-step explanation:

* Lets consider these tree segment formed triangle DEF

- We have the length of two sides and the measure of the

including angle between these two sides

* So we can use the cos Rule to find the length of the third side

- The cos rule ⇒ a² = b² + c² - 2bc cosA

# a is the side opposite to angle A

# b is the side opposite to angle B

# c is the side opposite to angle C

# Angle A is the including angle between b and c

* In the problem

∵ DE = 6 feet

∵ DF = 11 feet

∵ m∠FDE = 40° ⇒ including angle between DE and DF

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∴ (EF)² = (DE)² + (DF)² - 2(DE)(DF) cos∠FDE

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