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3 years ago

A triangle has sides that measures 9 inches and 17 inches.what is the possible length of the third side

Mathematics

1 answer:

Marrrta [24]3 years ago

4 0

Answer:

Step-by-step explanation:

Its known that the sum of 2 sides should be greater than the third, therefore,

Let the third side be x,

9+17=26 (x is smaller than 26 but greater than 17)

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10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help

Alik [6]

Hey ! there

Answer:

Value of missing side i.e. TE is 12 feet

Step-by-step explanation:

In this question we are provided with a right angle triangle having TS - 35 ft and SE - 37 ft . And we are asked to find the missing side that is TE using Pythagorean Theorem .

Pythagorean Theorem : -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

H² = P² + B²

Where ,

H refers to Hypotenuse

P refers to Perpendicular

B refers to Base

Solution : -

In the given triangle ,

Base = TE

Perpendicular = TS ( 35 feet )

Hypotenuse = SE ( 37 feet )

Now applying Pythagorean Theorem :

$\quad \longmapsto \qquad \:SE {}^{2} = TS {}^{2} + TE {}^{2}$

Substituting values :

$\quad \longmapsto \qquad \:37 {}^{2} = 35 {}^{2} + TE {}^{2}$

Simplifying it ,

$\quad \longmapsto \qquad \:1369 = 1225 + TE {}^{2}$

Subtracting 1225 on both sides :

$\quad \longmapsto \qquad \:1369 - 1225 = \cancel{1225} + TE {}^{2} - \cancel{1225}$

We get ,

$\quad \longmapsto \qquad \:144 = TE {}^{2}$

Applying square root to both sides :

$\quad \longmapsto \qquad \ \sqrt{ 144} = \sqrt{TE {}^{2}}$

We get ,

$\quad \longmapsto \qquad \: \red{\underline{\boxed{\frak{TE = 12 \: feet}}}} \quad \bigstar$

Henceforth , value of missing side is 12 feet .

Verifying : -

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

SE² = TS² + TE²

Substituting value of SE , TS and TE :

37² = 35² + 12²

1369 = 1225 + 144

1369 = 1369

L.H.S = R.H.S

Hence , Verified .

Therefore , our answer is correct .

<h2>#Keep Learning</h2>

6 0

2 years ago

Read 2 more answers

Please help! Please help!! Please help!!!

klasskru [66]

Answer:

36 is the answer to the questions

4 0

1 year ago

Please help me please

gizmo_the_mogwai [7]

Answer:

SA=390

Step-by-step explanation:

9*14=126

126+126=252

14*3=42

42+42=84

9*3=27

27+27=54

252+84+54=390

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3 years ago

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dangina [55]

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3 years ago

May I get help on these questions, please?

Virty [35]

Hello! here are the basic rules that you need to know to solve these problems:

a diameter is 2 × the radius
the circumference rule is 2×π×radius

I will solve the first question to show how to format.

1: 5/2=2.5
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2 years ago