Question

two angle of a triangle are in the ratio of 1and 2 .if the sum of these angle is equal to the third angle. find the angle of triangle . what types of triangle is it ? clarified the triangle as acute obtuse right scalene, isosceles or equilateral


please solve it




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Answer 1

$\sf Given \begin{cases} & \sf{Length\:of\:cuboid = \bf{15\:cm}} \\ & \sf{Breadth\:of\:cuboid = \bf{10\:cm}} \\ & \sf{Volume\:of\:cuboid = \bf{1200\:cm^3}} \end{cases}$

We have to find: Height of cuboid?

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We know that,

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$\star\;{\boxed{\sf{\purple{Volume_{\;(cuboid)} = l \times b \times h}}}}$

where l , b and h is length, breadth and height of cuboid respectively.

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$\dag\;{\underline{\frak{Putting\:given\:values,}}}$

$:\implies\sf 15 \times 10 \times h = 1200$

$:\implies\sf 150 \times h = 1200$

$:\implies\sf h = \cancel{ \dfrac{1200}{150}}$

$:\implies{\boxed{\sf{\pink{h = 8\;cm}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Thus,\; Height\;of\;cuboid\;is\; {\textsf{\textbf{8\;cm}}}.}}}$

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$\qquad\:\:\:\boxed{\underline{\underline{\purple{\bigstar \: \bf\:Formulas\; related\;to\;cuboid\:\bigstar}}}}$

Total surface area of cuboid = 2(lb + bh + hl)

Curved surface area of cuboid = 2(l + b)h

Answer 2

Answer:

the measurement of the angles are 90°,30°and 60°. Hence it is a right angle scalene triangle.

Step-by-step explanation:

it is given that ratio of two sides of triangle is 1:2 and there sum is equal to third angle =3.

sum of angles of triangle is 180°.

so, 1x+2x+3x= 180°.

hence x=30° so angles are 1x= 1×30°=30°

2x=2×30°=60°

3x=3×30°=90°

the triangle has90° it means it is a right angle triangle