Question

Special Right Triangles

a. Which triangles, if any, are 45°-45°-90° triangles?
• The triangle with a hypotenuse of 2.
•The triangle with a hypotenuse of v 3.
• The triangle with a hypotenuse of V 4 .
• The triangle with a hypotenuse of ~ 5.
• The triangle with a hypotenuse of v6.
• The triangle with a hypotenuse of V7
• There are no 45°-45°-90° triangles.

b. Which triangles, if any, are 30°-60°-90° triangles?
• The triangle with a hypotenuse of v 2 .
• The triangle with a hypotenuse of V 3 .
• The triangle with a hypotenuse of v 4 .
• The triangle with a hypotenuse of V5 .
• The triangle with a hypotenuse of v6.
• The triangle with a hypotenuse of V7 .
• There are no 30°-60°-90° triangles.

Answer 1

Answer:

$\text{The triangle with a hypotenuse of }\sqrt2.$

Step-by-step explanation:

$\text{The triangle with hypoenuse of }\sqrt2\text{ is a isosceles right triangle because two }\\\text{of its sides are equal to 1. So, it's base angles will be congruent and each of }\\\text{them will be equal to 45}^\circ\ (\text{we already talked about this in the previous}\\\text{questions). }$

$\text{So, the triangle with hypotenuse }\sqrt2\text{ is }45^\circ-45^\circ-90^\circ\text{ triangle. }$