Find the area of this isosceles triangle.
Pythagoras’ theorem

Step-by-step explanation:

first you have to divide 16/2 so you can do pythagorus to solve for the height.

16/2=8

√17^2-8^2=15cm - by adding the root symbol we can skip a step.

1/2x16x15=120cm^2

120 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = bh ( b is the base and h the height )

We require to calculate h

The segment from the vertex to the base is a perpendicular bisector.

This divides the triangle into 2 right triangles, with legs 8 and h and hypotenuse 17.

Using Pythagoras' identity on the left right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take the square root of both sides )

h = = 15, thus

A = 0.5 × 16 × 15 = 8 × 15 = 120 cm²

step-by-step explanation: noo

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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