What do all these triangles have in common? a) 19610800081.jpg b) 19610800082.jpg c)

gabioskay7 2021-11-22 Answered
What do all these triangles have in common?
a) image
b) image
c) image

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Expert Answer

Momp1989
Answered 2021-11-23 Author has 1126 answers
Step 1
As we can see all the three triangles in the image have their angles same as other
i.e. all the triangles have \(\displaystyle{45}^{{\circ}},\ {45}^{{\circ}},\ {90}^{{\circ}}\) angles
this is also called isosceles right triangle
Step 2
A \(\displaystyle{45}^{{\circ}},{45}^{{\circ}},\ {90}^{{\circ}}\) triangle is a special type of isosceles right triangle where the two legs are congruent to one another and the non-right angles are both equal to \(\displaystyle{45}^{{\circ}}\) degrees. Many times, we can use the Pythagorean theorem to find the missing legs or hypotenuse of \(\displaystyle{45}^{{\circ}},\ {45}^{{\circ}},\ {90}^{{\circ}}\) triangles. The ratio of the sides to the hypotenuse is always \(\displaystyle{1}:{1}:\sqrt{{{2}}}\)
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