SAT Math aid » Geometry » airplane Geometry » triangle » ideal Triangles » just how to uncover the length of the next of a ideal triangle

A appropriate triangle has one side equal to 5 and also its hypotenuse equal to 14. Its 3rd side is equal to:


Explanation:

The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, whereby c is the hypotenuse and also a and also b are the smaller sized sides. Here a is equal to 5 and also c is same to 14, therefore b2 = 142 – 52 = 171. Because of this b is equal to the square root of 171 or around 13.07.

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Explanation:

We use the Pythagorean Theorem and we calculate the 25 + 49 is not equal come 100.All that the various other answer selections observe the theorem a2 + b2 = c2


Explanation:

By virtue the the Pythagorean Theorem, in a ideal triangle the amount of the squares that the smaller sized two sides amounts to the square that the largest side. Only 9, 12, and also 15 right this rule.


A best triangle v a base of 12 and also hypotenuse of 15 is presented below. Discover x.


Explanation:

Using the Pythagorean Theorem, the elevation of the best triangle is uncovered to it is in = √(〖15〗2 –〖12〗2) = 9, so x=9 – 5=4


Explanation:

use the pythagorean theorem:

a2 + b2 = c2 ; a and b room sides, c is the hypotenuse

a2 + 1296 = 1521

a2 = 225

a = 15


Bob the Helicopter is at 30,000 ft. Above sea level, and as regarded on a map his airport is 40,000 ft. Away. If Bob travels in a right line come his airport at 250 feet every second, how plenty of minutes will it take him to arrive?


Explanation:

Draw a best triangle v a elevation of 30,000 ft. And a basic of 40,000 ft. The hypotenuse, or street travelled, is climate 50,000ft using the Pythagorean Theorem. Then dividing distance by speed will give us time, i m sorry is 200 seconds, or 3 minutes and also 20 seconds.


Explanation:

We have the right to use the Pythagorean organize to deal with for x.

92 + x2 = 152

81 + x2 = 225

x2 = 144

x = 12


The area the a best traingle is 42. One of the legs has a length of 12. What is the length of the other leg?


*


*


*


*


Explanation:

This is a

*
 triangle. We can find the worth of the other leg by making use of the Pythagorean Theorem.

Remembering that

*
.

Thus,

*

*

*

*
.

If

*
, you understand the adjacent side is
*
.

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Thus, making

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 because tangent is opposite/adjacent.


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