Question

he hypotenuse of a right triangle measures 13 cm and one of its legs measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answer 1

Answer:

hypotenuse =13cm

base=10cm

perpendicular =?

Step-by-step explanation:

by using Pythagoras law

hypotenuse=perpendicular²+base²

13²=perpendicular²+10²

perpendicular =√(13²-10²)=√69=8.3cm

the measure of the other leg is 8.3cm

Answer 2

The measure of the other leg is 8.3 cm .

What is Pythagoras theorem?

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Formula of Pythagoras theorem :

(Hypotenuse)² = (Base)² + (Perpendicular)²

According to the question

Hypotenuse of a right triangle = 13 cm

Perpendicular of a right triangle = 10 cm

Now,

Base of a right triangle  

By using formula of Pythagoras theorem :

(Hypotenuse)² = (Base)² + (Perpendicular)²  

Substituting the values

(13)² = (Base)² + (10)²  

169 = (Base)² + 100

69 = (Base)²

Base = $\sqrt{69}$

Base = 8.3 cm

Hence,  the measure of the other leg is 8.3 cm .

To know more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ3