ADVANCED LEVEL where n and 6. The figure shows a triangle STU where TU = 11 cm. H lies on TU such that the length of TH is 120% of the length of HU and ZSHU = 90°. Given that the area of ASTH is 21 cm?, find ZTSU. S Irigo the d bodi prod T U H -11 cm
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Step-by-step explanation:
The area of a triangle having sides a,b,c and S as semi-perimeter is given by
A=S(S−a)(S−b)(S−c)
S=2a+b+c=211+60+61=7132=66cm
We need to find the altitude to smallest side
A=66(66−11)(66−60)(66−61)
⇒A=66,55,6.5
⇒A=106900
⇒A=330m2
The area of a triangle having base AC and height P/S given by
Area (A) = 21=21 (Base × Height)
Area (A)= 21(AC×P)
We need to find the height P. Here the smaller side is 11 m.
AC= 11 m
330=21.(11×p)
330×2=11×p
660=11×p
∴p=660/11
p=60 m.
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Answer:
310
Step-by-step explanation:
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