Question

Please help me with math

Answer 1

The area of triangle BMN is 124.7 square centimeter.

What are similar triangles?

Similar triangles are triangles that their corresponding angles are equal and the ratio of their corresponding lengths are equal. They are often similar When at least Two angles are equal or The ratio of any corresponding lengths are same.

Analysis:

AB = AC = BC = 50cm

AH = AC/2 = 50/2 = 25cm

From Δ ABH, using Pythagoras theorem to find BH.

$(BH)^{2}$ = $(AB)^{2}$ - $(AH)^{2}$

$(BH)^{2}$ = $50^{2}$ - $25^{2}$

$(BH)^{2}$ = 2500 - 625

$(BH)^{2}$ = 1875

BH = $\sqrt{1875}$ = 43.3cm

ΔBMN and BHC are similar,

so, BM/BH = MN/HC

BM/43.3 = 12/25

25BM = 12 X 43.3

BM = 519.6/25 = 20.78cm

Area of ΔBMN

= 1/2(MN)(BM) = 1/2 x 12 x 20.78 = 124.7 square centimeter

Learn more about similar triangles: brainly.com/question/2644832

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