Suppose you have a triangle measuring 3, 4, and 5, what type of triangle is that? Find it's perimeter and area?

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Suppose you have a triangle measuring 3, 4, and 5, what type of triangle is that? Find it's perimeter and area?

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Answer 1 · 2016-07-18T21:56:59

$3 - 4 - 5$ $3-4-5$ is a Pythagorean Triplet making this a Right Triangle with a Perimeter of $12$ $12$ and an Area of $6$ $6$ .

Explanation:

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The perimeter is found by adding the three sides
$3 + 4 + 5 = 12$ $3+4+5= 12$

Since the three sides of the triangle follow the Pythagorean Theorem

$3^{2} + 4^{2} = 5^{2}$ $3^2 + 4^2=5^2$

$9 + 16 = 25$ $9+16=25$

This triangle is a right triangle.
This makes the base = 4 and the height =3

$A = \frac{1}{2} b h$ $A = 1/2 bh$
$A = \frac{1}{2} (4) (3) =$ $A = 1/2 (4)(3)=$
$A = 6$ $A= 6$

The Pythagorean Triplets include

$3 - 4 - 5$ $3-4-5$ and multiples of this ratio such as:
$6 - 8 - 10$ $6-8-10$
$9 - 12 - 15$ $9-12-15$
$12 - 16 - 20$ $12-16-20$
$15 - 20 - 25$ $15-20-25$

$5 - 12 - 13$ $5-12-13$ and multiples of this ratio such as:
$10 - 24 - 26$ $10-24-26$
$15 - 36 - 39$ $15-36-39$

$7 - 24 - 25$ $7-24-25$ and multiples of this ratio.

$8 - 15 - 17$ $8-15-17$ and multiples of this ratio.

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Suppose you have a triangle measuring 3, 4, and 5, what type of triangle is that? Find it's perimeter and area?

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Explanation:

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