72.3k views
2 votes
The length of one of the legs in a right triangle is 3 inches . If the hypotenuse is 10 inches long what the length of the other leg

User Divakar
by
7.9k points

2 Answers

2 votes

Answer:

9.5 inches

Explanation:

We are given that in a right angled triangle, one leg is 3 inches long while the hypotenuse is 10 inches long. We are to find the length of the other leg.

For this, we will use the Pythagoras Theorem.

Assuming x to be the length of the other leg.


1 0 ^ 2 = 3 ^ 2 + x ^ 2


100=9+x^2


x^2=91


√(x^2) =√(91)

x = 9.5

User Grabbag
by
8.2k points
5 votes

Answer:

9.53 inches

Explanation:

In a right angles triangle, the sum of the squares of the two legs (a and b) equals the square of the the hypotenuse.

a²+b²=c²

Substituting for the values provided in the question we get the following:

3²+b²=10²

b²=10²-3²

b²=91

b=9.53 inches.

User Jifeng Zhang
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories