Triangle ABC
3cm 4cm 6cm
Triangles DEF
10cm 24cm 26 cm
Triangle GHI
8cm, 17 cm 19 cm
The triangle is a right triangle if we have a solution for a Phytogoras theorem
c= greater side
a and b= the other sides
![c=\sqrt[]{a^2+b^2}](https://img.qammunity.org/2023/formulas/mathematics/college/6uwqakmkjq6nua21bpopztkrf20jt2flji.png)
for triangle ABC
c=6
![c=\sqrt[]{3^2+4^2}=5](https://img.qammunity.org/2023/formulas/mathematics/college/co8a8ky5de0fvthss9yr39ub9y6aqg9930.png)
c is not 5 so the ABC triangle is not a right triangle
For triangle DEF
c=26cm
![c=\sqrt[]{10^2+24^2}=26](https://img.qammunity.org/2023/formulas/mathematics/college/ptzjcq7vd0g5hq7bewq8e2u81scitcu4q6.png)
the triangle DEF is a right triangle
For the triangle GHI
c=19
![c=\sqrt[]{8^2+17^2}=18.78](https://img.qammunity.org/2023/formulas/mathematics/college/tczmvxgya2s7zyee5x3ahbpja17bm862i4.png)
the triangle GHI is not a right triangle
the answer is the triangle DEF