the two sides other than the hypotenus of a right angled triangle are in the ratio 6:5 if it's area is 135 M2 find the two sides of the triangle
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Answer:Given: Hypotenuse of right triangle =25 cm
Let the other sides be x and x+5
Thus, By Pythagoras Theorem:
25
2
=x
2
+(x+5)
2
625=x
2
+x
2
+25+10x
2x
2
+10x−600=0
x
2
+5x−300=0
x
2
+20x−15x−300=0
(x+20)(x−15)=0
x=15,−20
Thus, the other two sides are 15 cm and 20 cm.
Step-by-step explanation:
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