9. One side of a right-angled triangular scarf is 80 cm and its longest side is 1 m. Find its cost
at the rate of 250 per m2
Answers
Answer:
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Step-by-step explanation:
Let there is a right angled triangle with
sides AC, AB and BC and AC be the
longest side of this triangle.
So, in A ABC AC = 1 m, AB = 80 cm or
0.8 m and BC = ?
AC^2 = AB^2 + BC^2
(1)2 = (0.8)2 = (BC)
(BC)^2 = 1 - 0.64
(BC)^2 = 0.36
BC = 0.6 m
Now, the area of the triangle = 1/2 x
Base * Height
= 1/2 x 0.6 x 0.8
Area of triangle = 0.24 sq m
Cost of scarf = 250 x 0.24
= Rs 60
Step-by-step explanation:
Given,
Side=80cm
Hypotenuse=1m=100cm
other side =x
BY Pythagoras Theorem
(100)²=(80)²+x²
or., 10000=6400+x²
or, 10000-6400=x²
or, 3600=x²
or, (60)² =x²
or, 60=x
NOW, AREA OF SCARF
=1/2×H×B
=1/2×80×60
=2400
=0.24m²
Now, A/q
=Cost of per m²=₹250
Cost of 2.4m²=₹250×0.24
=₹60