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Since 2 of it's angles are equal (45 degrees), you have an isoceles triangle. Hence, two of its sides are the same.
Since the other angle is 90, you have a right angle triangle. This means that if you're missing the hypotenuse, you can use the Pythagorean theorem to find it.
H^2 = A^2 + B^2
Where H is the length of the hypotenuse, and A and B are the lengths of the other 2 sides. (Here, A = B).
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How do you find the sides of a right angled isosceles triangle when you know the angles?
You cannot. A right angled isosceles triangle will always be 90-45-45 so knowing the angles does not add any information. Without knowledge of any one side, you cannot distinguish between the infinitely many similar 90-45-45 triangles.
What is a rule for the 45-45-90 right triangle?
There is no single rule. It is a right angled isosceles triangle. Its long side (hypotenuse) is sqrt(2) times the short sides.
Carey drew an equilateral triangle with a perimeter of 45 inches. He dilated the triangle by a scale factor of 0.6. What is the length of each side of the image of the dilated triangle?
Ok if the triangle is equilateral then all the sides have to have the same length. Since the perimeter is 45 inches that means each side is 15 inches. 45 / 3 = 15 Now if he dilates the triangle by a scale factor of 0.6 we have to multiply the length of each side by 0.6. 15 * 0.6 = 9 So the answer is 9 inches
Is a triangle with two congruent angles always a 45-45-90 triangle?
No because an isosceles triangle has various two congruent angles. A 45-45-90 triangle is technically an isosceles triangle.
Explain why the tangent of 45 equals 1?
Tangent is determined by the ratio of the side opposite the angle over the one adjacent to it. In a 45-45-90 triangle, the ratio of these sides is 1. This is because the side opposite one of the 45 degree angles is adjacent to the other, and vise versa.
