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2 years ago

Find the length of D.

Mathematics

1 answer:

defon2 years ago

6 0

Answer:

root 50

Step-by-step explanation:

Pythagorean theorem d is the hypotenuse

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Find the area Please someone help

IgorLugansk [536]

So first let’s find the area of the rectangle. The formula for finding the area of a rectangle is A=l x w.
The length is 10ft and the width is 8ft.
A=10ft x 8ft=80ft^2
The area of the rectangle is 80ft^2.

Now let’s find the area of the triangle. The formula for finding the area of a triangle is A=h x b/2. Both the height and the base of the triangle is 4ft.
A=4ft x 4ft/2=8ft^2.
The area of the triangle is 8ft^2.

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2 years ago

Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity.

Arturiano [62]

The Pythagorean theorem is one that can be used to determine the third unknown side of a given right-angled triangle. Thus the answers required are:

A pair of similar triangles formed are ΔABD and ΔADC
Segment AD is a perpendicular bisector of segment BC, and also bisects angle A in two equal measures
Segment AD = 3

A right-angled triangle is one which has the measure of one of its internal angles equal to $90^{o}$ . Thus to determine the value of one of its unknown sides, the Pythagoras theorem can be used.

Pythagora theorem states that: for a right-angled triangle,

$/Hypotenus/^{2}$ = $/Adjacent 1/^{2}$ + $/Adjacent 2/^{2}$

Thus from the given question, we have;

Part A: A pair of similar triangles formed are ΔABD and ΔADC.

Part B: In the given triangle, segment AD is a perpendicular bisector of segment BC. Thus segment AD also bisects angle A in two equal measures. So triangle ABC is now divided into two equal pairs i.e ΔABD and ΔADC.

Part C: Given that: If DB = 9 and DC = 4, find the length of segment DA.

Let segment AD be represented by x, so that;

from ΔABC,

$/Hypotenus/^{2}$ = $/Adjacent 1/^{2}$ + $/Adjacent 2/^{2}$

$/13/^{2}$ = $/Adjacent 1/^{2}$ + $/Adjacent 2/^{2}$

Thus the appropriate Pythagorean triple for this question is 5, 12, 13.

So that AB = 12, AC = 5 and BC = 13

Let segment AD be represented by x.

Thus from triangle ADC, applying the Pythagoras theorem we have;

$5^{2}$ = $x^{2}$ + $4^{2}$

25 - 16 = $x^{2}$

$x^{2}$ = 9

x = 3

Therefore, segment AD is 3.

For more clarifications on Pythagoras theorem, visit: brainly.com/question/343682

#SPJ1

Kindly contact a 1-on-1 tutor if more explanations are needed.

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1 year ago

Find the length of D. ​

Find the length of D.