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One leg of a right triangle is 2 inches and the hypotenuse is 6 inches.

Find the area.

A = ___sq. in

A = _____ sq. in

 Jan 30, 2020
 #1
avatar+18830 
0

Pythagorean Theorem:  c2  =  a2 + b2     [c must be the hypotenuse; a and b are the other sides]

For this problem, c = 6.

We can let either a or b = 2; let's say that b = 2.

Place these values into the equation:  c2  =  a2 + b2    --->   62  =  a2 + 22    --->   36  =  a2 + 4 

                                                                                      --->   32  =  a2

So:  a = sqrt(32)

 

Area  =  ½·base·height   --->   Area  =  ½·sqrt(32)·2   --->   Area  =  sqrt(32)

 Jan 30, 2020
 #2
avatar+519 
+1

a = 2      c = 6

Side   b = sqrt ( 6² - 2² )               b = 5.656854249 in       

 

Area    A = b * 1 smiley                     A = 5.656854249 sq. in  indecision

 Jan 30, 2020
edited by Guest  Jan 30, 2020
edited by Guest  Jan 30, 2020
edited by Dragan  Jan 30, 2020

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