a square is put together by two triangles. the hypotenuse is 11 cm and width if 8 cm. find the height of the triangle.

b ≈ 7.54 cm

Step-by-step explanation:

Pythagorean Theorem

a² + b² = c²

a and b are the sides and c is the hypotenuse

hypotenuse is 11 cm

a side is 8 cm

so

8² + b² = 11²

64 + b² = 121

-64 - 64

b² = 57

√b² = √57

b ≈ 7.54 cm (use ≈ because its rounded so its not exact)