Construct a isosceles triangle xyz xy=yz xz=4.5cm and angle x is 30degree
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Answer:
XY and XZ are 4.5cm (since xy=xz)
and as given angle x is 30,
so,angle YXZ=30
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(i) Draw a line segment which is sufficiently long using ruler.
(ii) Locate points X and Z on it such that XZ=9.5cm.
(iii) With X as centre and radius 7.8cm, draw an arc(see figure)
(iv) With Z as centre and radius 4.5cm , draw another arc cutting the previous arc at C.
(v) Join XY and YZ
Then ABC is the required triangle.
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