The length of the base a right angle triangle is 2x units and its area is 4×2 +4. Findthe length of the perpendicular of the triangle. About the author Charlotte
Answer: area ⇒30 cm 2 = 2 1 (2x−1)(4x) 60=(4x)(2x−1) 15=x(2x−1) 2x 2 −x−15=0 2x 2 −6x+5x−15=0 2x(x−3)+5(x−3)=0 ⇒x=3,x= 2 −5 since x cannot be negative x=3 ∴AB=(2x−1)=5 cm AC=4x=12 cm BC= AB 2 +AC 2 = 25+144 + 169 =13cm. ∴ the sides are 5 cm, 12 cm and 13 cm Reply
Answer:
area ⇒30 cm
2
=
2
1
(2x−1)(4x)
60=(4x)(2x−1)
15=x(2x−1)
2x
2
−x−15=0
2x
2
−6x+5x−15=0
2x(x−3)+5(x−3)=0
⇒x=3,x=
2
−5
since x cannot be negative
x=3
∴AB=(2x−1)=5 cm
AC=4x=12 cm
BC=
AB
2
+AC
2
=
25+144
+
169
=13cm.
∴ the sides are 5 cm, 12 cm and 13 cm