If the hypotenuse of a 45°-45°-90° triangle has a length

Given a right triangle. Cathetuses are 24cm and 7cm long. Find the length of the hypothenuse.

The perpendicular bisector ${\displaystyle \overline{AB}}$ in the right triangle ${\displaystyle \mathrm{△}ABC}$ forms the triangle with the area 3 times smaller than the area of ${\displaystyle \mathrm{△}ABC}$. Find the measures of acute angles in ${\displaystyle \mathrm{△}ABC}$

What is ${\displaystyle \theta }$ equal to
1. in radians,
2. in degrees,
if, ${\displaystyle \cot \left(\theta \right)=1}$

The length of the base of an isosceles triangle is x. The length of a leg is 4x- 2. The perimeter of the triangle is 104. Find x.

If the hypotenuse of a triangle is 12 cm and the measure of its legs are in the ratio ${\displaystyle 1:2}$, then what are the measures of it’s legs?

Two college friends are taking a weekend road trip. Friday they leave home and drive 87 miles north for a night of dinner and dancing in the city. The next morning they drive 116 miles east to spend a day at the beach. If they drive straight home from the beach the next day, how far do they have to travel on Sunday?

What is ${\displaystyle 4\cos 45°-2\sin 45°}$?