Mathematics: The area of a trapezoid is 152. the height is 16 and the length of one of the sides is 6. find the length of the second parallel side.

The area of a trapezoid is 152. the height is

Nicholasram6005

11.04.2023

8mm, 10mm, 14mm

Step-by-step explanation:

we know that an obtuse triangle has one angle greater than $90^{\circ}$

By using corollary to Pythagoras Theorem, we can test whether these triangles are obtuse or not .

We need to get the sum of the squares of the two shorter sides and compare with the square of the longer side.

For 8, 10, 14

$8^2+10^2\\=64+100=164$

⇒ An obtuse triangle.

For 9, 12, 15

$9^2+12^2\\=81+144\\=225\ as\ (15^2=225)$

⇒ A right triangle.

For 10, 14, 17

$10^2+14^2\\=100+196\\=296289\ as\ (17^2=289)$

⇒ An acute triangle.

For 12, 15, 19

$12^2+15^2\\=144+225=369361\ as\ (19^2=361)$

An acute triangle.

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