For a right triangle ABC with right angle C, if AC = 4 and AB = 5, what is the length of BC in simplified form?

Dec 26, 2015

Draw a diagram to answer this question

Explanation:

Use pythagorean theorem to find the length of BC:
Say that BC = a
${a}^{2}$ + ${b}^{2}$ = ${c}^{2}$
${a}^{2}$ = ${c}^{2}$ - ${b}^{2}$
${a}^{2}$ = ${5}^{2}$ - ${4}^{2}$
${a}^{2}$ = 25 - 16
${a}^{2}$ = 9
a = √9
a = 3

BC measures 4 cm