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The area of a right triangle is 210 inches squared. The height of the right triangle is 35 inches. What is the length of the hypotenuse of the right triangle?

2 Answers

3 votes
Area of a triangle:

A = b * h / 2


A triangle base is 3 inches more than it's height.

This mean : b = h + 3


A = b * h / 2 = ( h + 3 ) * h / 2 = 35 in ^ 2

( h * h + 3 * h ) / 2 = 35

( h ^ 2 + 3 h ) / 2 = 35 Multiply both sides by 2

h ^ 2 + 3 h = 70 Subtract 70 to both sides

h ^ 2 + 3 h - 70 = 70 - 70

h ^ 2 + 3 h - 70 = 0

The solutions are :

h = - 10

and

h = 7

Height can't be negative so :

h = 7 in

b = h + 3 = 7 + 3 = 10 in


A = 10 * 7 / 2 = 70 / 2 = 35 in ^ 2




User Kushagra Gour
by
7.9k points
1 vote

Answer:

X=37 in

Explanation:

I know I just took the quiz

The area of a right triangle is 210 inches squared. The height of the right triangle-example-1
User Rozie
by
8.1k points

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