Question

The length of the hypotenuse of a right triangle is 15 ft. The length of one leg is 9 ft. Find the length of the other leg.
A)6
B)21
C)12
D)18
My Answer ~ A or C

Answer 1

Do u know Pythagorean theorem

Answer 2

yes sir

Answer 3

Hypotenuse ^2=base^2+perpendicular ^2

Answer 4

15^2=9^2+leg^2

Answer 5

yes sir, I did that but I wasn't sure if I did the math right so i came here

Answer 6

Leg=?

Answer 7

225?

Answer 8

15^2-9^2=?

Answer 9

144?

Answer 10

\(\large\color{#993300}{ \displaystyle a^2+b^2=c^2 }\)

where \(\large\color{#993300}{ \displaystyle c }\) is the hypotenuse.

Answer 11

You know one side is equal to 9 and the hypotenuse is equal to 15.

Therefore, \(\large\color{#993300}{ \displaystyle a^2+9^2=15^2 }\)

Answer 12

\(\large\color{#115599}{ \displaystyle a^2+9^2=15^2 }\)
\(\large\color{#115599}{ \displaystyle a^2=15^2-9^2 }\)
\(\large\color{#115599}{ \displaystyle a^2=225-81=144 }\)
\(\large\color{#115599}{ \displaystyle a=\sqrt{144} }\)

Answer 13

=12

Answer 14

Ok Thankyou kindly!!!

Answer 15

yw

Answer 16

you might want to memorize
3,4,5 are the legs of a right triangle (these numbers are used alot)
you might also see 5,12,13

and, any multiple of 3,4,5 are also legs of a right triangle
notice if we multiply each by 3 we get
9,12,15
this is the triangle in your problem