First, we know that MP = 12 cm. Since MP is the hypotenuse of the triangle BCP, we can use the Pythagorean theorem to find the length of BP.
Let x be the length of BP.
Using the Pythagorean theorem:
BC^2 = BP^2 + PC^2
BC^2 = x^2 + 10^2
BC^2 = x^2 + 100
Since BC = MP = 12 cm:
12^2 = x^2 + 100
144 = x^2 + 100
44 = x^2
Taking the square root of both sides:
x = √44
x = 2√11
Therefore, the length of BP is 2√11 cm.
The diagram is a sketch of a net. It shows a square and four congruent triangles.
AB = 10 cm, MP = 12 cm and BP = PC
Calculate the length of BP.
1 answer