Find the number that completes a Pythagorean triple given the following:
The two largest numbers are 10 and 8.
The largest and smallest numbers are 41 and 9.
For the following right-angled triangles:
Write the equation that the sides of the triangle satisfy.
Solve the equation to find the length of the unknown side.
Find the length of the unknown side of the following triangles:
Find the length of the unknown side of the following triangles, correct to two decimal places:
Find the length of the unknown side of the following triangles, giving your answer as a surd:
The two short sides of a triangle have lengths of 10 and 17. Sarah notices that she can divide the triangle into two smaller right-angled triangles, each with a height of 8.
Find the base lengths of the two right-angled triangles.
Find the base length of the original triangle.
Find the base length of the following triangles:
Consider a right-angled triangle with hypotenuse of length 15 \,\text{cm} and another side of length 4 \,\text{cm}.
Find the length of the other side, correct to two decimal places.
Find the perimeter, correct to two decimal places.
Consider a rectangle with a diagonal of length 25 \,\text{cm} and a side of length 24 \,\text{cm}.
Find the length of the other side.
Find the perimeter.