geometry
posted by Kym .
a right triangle has legs of length 3x and 4x and hypotenuse of length 75. What are the lengths of the legs of the triangle.

Yse the Pythagorean theorem to show that the hypotenuse is
5x = 75
x = 15.
Take it from there 
Pythagorean theorem
(leg)^2 + (leg)^2= (hypoyenuse)^2
(3x)^2 + (4x)^2 =(75)^2
9x^2 +16x^2 = 5625
25x^2=5625 ]:25
x^2=225
x=15
so, first leg is 3*15=45
second leg is 4*15=60.
Respond to this Question
Similar Questions

algebra
a and b are both the lengths of the legs of a right triangle, c is the length of the hypotenuse. Find the missing length if b=24 and c=25. I don't know how to do this. 
Algebra
What is the length of the hypotenuse of a right triangle with legs of 5 and 12 units? 
math/geometry
complete the statements: To find the length of the hypotenuse of a 454590 triangle, multiply the length of one of the legs by:? 
9th grade
The lengths of 2 legs of a right triangle are 16 cm and 30 cm. What is the length of the hypotenuse? 
geometry
Given the hypotenuse of a right triangle is 600, and the length of all three sides is 1400, what are the lengths of the legs? 
Math (Geometry)
The perimeter of right triangle ABC is equal to the perimeter of isosceles triangle DEF. The lengths of the legs of the right triangle are 6 and 8. If the length of each side of the isosceles triangle is an integer, what is the greatest … 
Math
1) The hypotenuse of an isosceles right triangle is 8 cm longer than either of its legs. Note that an isosceles right triangle is a right triangle whose legs are the same length. Find the exact length of its legs and its hypotenuse. … 
Geometry
The length of a hypotenuse of a right triangle is 29 feet. The Altitude drawn perpendicular to the hypotenuse is 10 feet. What are the lengths of the two legs? 
Math PLZZ
1. Which set of numbers represents a Pythagorean triple? 
Math Help Please
1. Which set of numbers represents a Pythagorean triple?