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Shtirlitz [24]
4 years ago
13

Classify the following triangle. Check all that apply.

Mathematics
1 answer:
Lady bird [3.3K]4 years ago
5 0

Answer: A and E

Step-by-step explanation:

A. Correct

You know this is an isisceles triangle because of the markers on the sides. The markers mean the sides are equal. Also, the lengths are both 8.

B. Incorrect

A scalene triangle is a triangle where all 3 sides have different lengths. The picture shows an isosceles triangle.

C. Incorrect

Even is this may seem like an acute triangle because of the 45°, but this is actually not an acute triangle. An acute triangle requires for all its sides to be less than 90°. The right angle at the bottom right is 90°, not less than.

D. Incorrect

An equilateral triangle has 3 equal sides. The 3 sides in thsi triangle are not equal.

E. Correct

This is a right triangle. You can tell by the right angle label on the bottom right.

F. Incorrect

An obtuse triangle has an angle that is greater than 90°. No angle on this triangle is larger than 90°.

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<u>Answer-</u>

<em>At 15.91° the ball was thrown.</em>

<u>Solution-</u>

<em>In the question it is given that the ball was released and caught from the same height.</em>

We know that,

R=\frac{u^{2}\sin 2\Theta}{g}

Where,

R = Range of the projectile = 7.75 m,

u = Initial speed = 12 m/s

θ = Angle at which it was released

g = Acceleration due to gravity = 9.8 m/s²

Putting all the values,

\Rightarrow 7.75 = \frac{12^{2}\sin 2\Theta}{9.8}

\Rightarrow \sin 2\Theta=\frac{7.75 \times 9.8}{144} =0.5274

\Rightarrow 2\theta=\sin^{-1} 0.5274=31.83 \ or \ 148.17

\Rightarrow \theta=\frac{31.83}{2} \ or \ \frac{148.17}{2} =15.91 \ or \ 74.08

\Rightarrow \theta=15.91^{\circ} \ (smaller \ angle)

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