The area of
this triangle
is 180 ft?,
what does x
have to be?

x has to be 6

Step-by-step explanation:

Let us revise the rule of the area of a triangle

→ The area of any triangle = × base × height

In the given triangle:

∵ The triangle is a right triangle

∵ Its base = 5x ft

∵ Its height = 12 ft

∵ Its area = 180 ft²

→ Substitute these values in the rule of the area above

∴ 180 = × 5x × 12

→ Simplify the right side

∵ × 5x × 12 = 30x

∴ 180 = 30x

→ Divide both sides by 30 to find x

∴

∴ 6 = x

∴ x has to be 6

To check your answer find the area of the triangle

∵ Its base = 5x = 5(6) = 30 ft

∵ Its height = 12 ft

∴ Its area = × 30 × 12 180 ft²

∴ The value of x is correct.

step-by-step explanation:

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according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: