Evelyn cut a wedge of cheese into the shape of a triangular prism-like the one shown below. The shaded part represents one of th
e bases of the prism.
A formula for the volume of a triangular prism is v=Bh . Which equation can be used to find B , the area of the shaded base in square centimeters?
A formula for the volume of a triangular prism is v=Bh . Which equation can be used to find B , the area of the shaded base in square centimeters?
1 answer:
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Given:
The figure of a right angle triangle with hypotenuse 10 and two angles
To find:
The lengths of the legs.
Solution:
Two angles are given. By using the angle sum property, the third angle is:
Third angle =
=
Base angles are equal it means the given triangle is an isosceles right triangle. So, the lengths of both legs are equal.
Let x be the lengths of both legs. Then by using Pythagoras theorem, we get
Taking square root on both sides, we get
The side length cannot be negative. So, the only value of x is .
Therefore, the length of the both legs is units.