Respuesta :

ghoshshreyo2007

Answer:

2√30

Step-by-step explanation:

Since we have a right triangle, we first need to find the base of the big triangle, which is also the hypo of the smaller triangle.

We apply A²+B²=C²

We plug values in that we have

15²+B²=19²

Simplify

B²=136

B=√136=√2x2x2x2x17=4√17

Now that we have the hypo for the small triangle we apply the same formula to get X

4²+X²=√136

16+X²=136

X²=120

X=√120=√2x2x2x3x5=2√30

Answer:

11.0 mm (3sf)

Step-by-step explanation:

Let length of hypotenuse of smaller triangle be H mm. (this is referring to the only unlabelled length in the picture)

by the Pythagorean theorem (larger triangle),

19² = 15² + H²

H² = 361 - 225

H² = 136

by the Pythagorean theorem (smaller triangle),

H² = 4² + x²

136 = 16 + x²

x² = 120

x = 11.0 mm (3sf)

hope this helps!

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