PLEASE PLEASE PLEASE HELP ME WITH ALGEBRA 1 PLEASE!?!?!?!?!!!?!?!?!?!?! I WILL GIVE POINTS AND BRAINLEST PLEEEEEEEEEEEEEEEEASE!!
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Answer:
Surface Area = 150
Step-by-step explanation:
The surface area of this triangular prism is the sum of area of all the sides.
Surface Area = triangle 1 (with base 8 and height 3) + triangle 2 (same as triangle 1) + lateral surface 1 (with length 7 and width 5 (calculation shown below)) + lateral surface 2 (same as lateral surface 1) + bottom (side not shown with length 7 and width 8)
- Triangle 1 area:
- Triangle 2 area:
- Lateral surface 1 (rectangle):
- Lateral surface 2 (rectangle):
- Bottom surface (rectangle):
Summing all these gives us the total surface area.
Total surface area =
**** <em>The triangle shown is divided into half by the perpendicular line (3cm) to the base. So the base is divided in half (4 cm and 4 cm).</em>
<em>Now, we have a right triangle with one leg 4 cm and another leg 3 cm. How do we get the hypotenuse? We use </em><em>Pythagorean Theorem</em><em>. Which is:</em>
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<em>Hence, the side length of the hypotenuse is 5 [used above in the calculation]</em>