Question

please help me i need to get this right

Answer 1

Yes it is a right triangle, if you look at the corner in the bottom it is a 90-degree angle, so this means that it is a right triangle and it is definitely a right triangle.

Answer 2

Answer:

False. Not right angle

Step-by-step explanation:

There are 3 triangles in the image. Blue triangle, Left Triangle with sides 8 and 9 and Right triangle with the sides 6 and 8

Using Pythagoras theorem

hypotenuse of Left triangle with side 8 and 9 is

$\sqrt{8^{2} +9^{2}} = \sqrt{145}$

hypothenuse of Right triangle with side 6 and 9 is

$\sqrt{6^{2} +8^{2} } =\sqrt{100}$

If the blue triangle is right triangle then Pythagoras theorem should also work

However, using Pythagoras theorem, the side is calculated as

$\sqrt{\sqrt{145} ^{2} +\sqrt{100} ^{2}} =\sqrt{245}$ = 15.6524758425

However, we know that the side of the rectangle is 15

Hence, the blue triangle is not right angle(the angle looks like right angle in the picture, but it is an acute angle).

Another way to prove this is just using the inverse arctan

arctan(8/9) in degrees = 41.6335393

arctan(8/6) in degrees = 53.1301024

180 - 41.6335393 - 53.1301024  = 85.2363583

So the angle is just 85 degrees.