Determine the unknown side lengths
1 answer:
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Answer:
9. Area of triangle=
10. Base= 16 ft and Height= 15 ft.
11. 120 ft²
Step-by-step explanation:
Given: Base of triangle= 16 ft
Length of leg of triangle= 17 ft.
As shown in the picture that median has bisected the triangle and forming two right angle triangle.
∴ Each base of right angle triangle=
Now, finding the height of triangle by using pythagorean theorem.
We know, , where h is hypotenous, a is height or opposite and b is base or adjacent of triangle.
⇒
⇒
Subtracting both side by 64
⇒
taking square root on both side, remember; √a²=a
⇒a=
Hence, height of triangle is 15 ft.
Next, finding the area of triangle.
Formula; Area of triangle=
⇒ Area of triangle=
∴ Area of triangle= 120 ft²