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the lengths of the sides of an isoceles trapezoid are 10,10,13, and 19. compute the length of one diagonal of the isoceles trapezoid. express your answer in simplified radical form.

d = √347

Step-by-step explanation:

You can use Pythagoras' theorem twice to determine the length of the diagonal.

Consider the isosceles trapezoid PQRS in the diagram below.

ST = ½(19 - 13) = ½ × 6 = 3

∆PST is a right triangle

∴ PT² + 3² = 10²

  PT² = 10² - 3² = 100 - 9 = 91

∆PRT is a right triangle.

∴ PR² = RT² + PT²

  PR² = 16²  +  91 = 256 + 91 = 347

  PR = √347

The length of the diagonal is √347

i need the options

step-by-step explanation:

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.